C3m - Model and analyze the vertical motion of an object with linear drag (ver. 1)

A water droplet with a radius of $$0.000312$$ meters has a mass of about $$9.59 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.845$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 11.6$$.

The velocity after $$0.03$$ seconds is approximately $$-0.249$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 2)

A water droplet with a radius of $$0.000416$$ meters has a mass of about $$2.26 \times 10^{-8}$$ kilograms and a downward terminal velocity of approximately $$0.975$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 10.1$$.

The velocity after $$0.03$$ seconds is approximately $$-0.254$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 3)

A water droplet with a radius of $$0.000104$$ meters has a mass of about $$3.51 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.487$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 20.1$$.

The velocity after $$0.04$$ seconds is approximately $$-0.269$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 4)

A water droplet with a radius of $$0.000183$$ meters has a mass of about $$1.93 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.647$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.02$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 15.2$$.

The velocity after $$0.02$$ seconds is approximately $$-0.169$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 5)

A water droplet with a radius of $$5.59 \times 10^{-6}$$ meters has a mass of about $$5.48 \times 10^{-14}$$ kilograms and a downward terminal velocity of approximately $$0.113$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 86.8$$.

The velocity after $$0.03$$ seconds is approximately $$-0.105$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 6)

A water droplet with a radius of $$0.000354$$ meters has a mass of about $$1.39 \times 10^{-8}$$ kilograms and a downward terminal velocity of approximately $$0.899$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 10.9$$.

The velocity after $$0.04$$ seconds is approximately $$-0.318$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 7)

A water droplet with a radius of $$0.000307$$ meters has a mass of about $$9.12 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.838$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 11.7$$.

The velocity after $$0.04$$ seconds is approximately $$-0.313$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 8)

A water droplet with a radius of $$0.000342$$ meters has a mass of about $$1.26 \times 10^{-8}$$ kilograms and a downward terminal velocity of approximately $$0.884$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 11.1$$.

The velocity after $$0.04$$ seconds is approximately $$-0.317$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 9)

A water droplet with a radius of $$0.000180$$ meters has a mass of about $$1.84 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.642$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.02$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 15.3$$.

The velocity after $$0.02$$ seconds is approximately $$-0.169$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 10)

A water droplet with a radius of $$0.000407$$ meters has a mass of about $$2.11 \times 10^{-8}$$ kilograms and a downward terminal velocity of approximately $$0.964$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 10.2$$.

The velocity after $$0.03$$ seconds is approximately $$-0.254$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 11)

A water droplet with a radius of $$0.000127$$ meters has a mass of about $$6.39 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.538$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 18.2$$.

The velocity after $$0.03$$ seconds is approximately $$-0.227$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 12)

A water droplet with a radius of $$0.000127$$ meters has a mass of about $$6.46 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.539$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 18.2$$.

The velocity after $$0.03$$ seconds is approximately $$-0.227$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 13)

A water droplet with a radius of $$0.0000421$$ meters has a mass of about $$2.34 \times 10^{-11}$$ kilograms and a downward terminal velocity of approximately $$0.310$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 31.6$$.

The velocity after $$0.04$$ seconds is approximately $$-0.223$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 14)

A water droplet with a radius of $$7.51 \times 10^{-6}$$ meters has a mass of about $$1.33 \times 10^{-13}$$ kilograms and a downward terminal velocity of approximately $$0.131$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.02$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 74.9$$.

The velocity after $$0.02$$ seconds is approximately $$-0.102$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 15)

A water droplet with a radius of $$0.000218$$ meters has a mass of about $$3.26 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.706$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 13.9$$.

The velocity after $$0.04$$ seconds is approximately $$-0.301$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 16)

A water droplet with a radius of $$0.0000987$$ meters has a mass of about $$3.02 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.475$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 20.7$$.

The velocity after $$0.03$$ seconds is approximately $$-0.219$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 17)

A water droplet with a radius of $$0.000112$$ meters has a mass of about $$4.42 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.506$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 19.4$$.

The velocity after $$0.03$$ seconds is approximately $$-0.223$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 18)

A water droplet with a radius of $$0.000410$$ meters has a mass of about $$2.17 \times 10^{-8}$$ kilograms and a downward terminal velocity of approximately $$0.968$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 10.1$$.

The velocity after $$0.03$$ seconds is approximately $$-0.254$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 19)

A water droplet with a radius of $$0.0000871$$ meters has a mass of about $$2.07 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.446$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 22.0$$.

The velocity after $$0.04$$ seconds is approximately $$-0.261$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 20)

A water droplet with a radius of $$0.0000979$$ meters has a mass of about $$2.95 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.473$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 20.7$$.

The velocity after $$0.03$$ seconds is approximately $$-0.219$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 21)

A water droplet with a radius of $$0.0000454$$ meters has a mass of about $$2.94 \times 10^{-11}$$ kilograms and a downward terminal velocity of approximately $$0.322$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.02$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 30.5$$.

The velocity after $$0.02$$ seconds is approximately $$-0.147$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 22)

A water droplet with a radius of $$0.0000471$$ meters has a mass of about $$3.28 \times 10^{-11}$$ kilograms and a downward terminal velocity of approximately $$0.328$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 29.9$$.

The velocity after $$0.03$$ seconds is approximately $$-0.194$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 23)

A water droplet with a radius of $$0.0000158$$ meters has a mass of about $$1.24 \times 10^{-12}$$ kilograms and a downward terminal velocity of approximately $$0.190$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.02$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 51.6$$.

The velocity after $$0.02$$ seconds is approximately $$-0.122$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 24)

A water droplet with a radius of $$0.0000971$$ meters has a mass of about $$2.87 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.471$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 20.8$$.

The velocity after $$0.04$$ seconds is approximately $$-0.266$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 25)

A water droplet with a radius of $$0.000126$$ meters has a mass of about $$6.24 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.536$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 18.3$$.

The velocity after $$0.04$$ seconds is approximately $$-0.278$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 26)

A water droplet with a radius of $$0.000364$$ meters has a mass of about $$1.52 \times 10^{-8}$$ kilograms and a downward terminal velocity of approximately $$0.912$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 10.8$$.

The velocity after $$0.04$$ seconds is approximately $$-0.319$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 27)

A water droplet with a radius of $$0.0000254$$ meters has a mass of about $$5.16 \times 10^{-12}$$ kilograms and a downward terminal velocity of approximately $$0.241$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 40.7$$.

The velocity after $$0.04$$ seconds is approximately $$-0.194$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 28)

A water droplet with a radius of $$0.000106$$ meters has a mass of about $$3.73 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.492$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 19.9$$.

The velocity after $$0.04$$ seconds is approximately $$-0.270$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 29)

A water droplet with a radius of $$0.000304$$ meters has a mass of about $$8.80 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.833$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 11.8$$.

The velocity after $$0.03$$ seconds is approximately $$-0.248$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 30)

A water droplet with a radius of $$0.0000787$$ meters has a mass of about $$1.53 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.424$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 23.1$$.

The velocity after $$0.04$$ seconds is approximately $$-0.256$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 31)

A water droplet with a radius of $$4.83 \times 10^{-6}$$ meters has a mass of about $$3.53 \times 10^{-14}$$ kilograms and a downward terminal velocity of approximately $$0.105$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 93.4$$.

The velocity after $$0.03$$ seconds is approximately $$-0.0986$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 32)

A water droplet with a radius of $$0.000141$$ meters has a mass of about $$8.84 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.568$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 17.3$$.

The velocity after $$0.03$$ seconds is approximately $$-0.230$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 33)

A water droplet with a radius of $$8.46 \times 10^{-6}$$ meters has a mass of about $$1.90 \times 10^{-13}$$ kilograms and a downward terminal velocity of approximately $$0.139$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 70.6$$.

The velocity after $$0.03$$ seconds is approximately $$-0.122$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 34)

A water droplet with a radius of $$0.000189$$ meters has a mass of about $$2.12 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.657$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 14.9$$.

The velocity after $$0.04$$ seconds is approximately $$-0.295$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 35)

A water droplet with a radius of $$0.0000479$$ meters has a mass of about $$3.46 \times 10^{-11}$$ kilograms and a downward terminal velocity of approximately $$0.331$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 29.6$$.

The velocity after $$0.04$$ seconds is approximately $$-0.230$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 36)

A water droplet with a radius of $$0.000324$$ meters has a mass of about $$1.07 \times 10^{-8}$$ kilograms and a downward terminal velocity of approximately $$0.861$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 11.4$$.

The velocity after $$0.03$$ seconds is approximately $$-0.249$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 37)

A water droplet with a radius of $$0.000275$$ meters has a mass of about $$6.50 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.792$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 12.4$$.

The velocity after $$0.04$$ seconds is approximately $$-0.309$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 38)

A water droplet with a radius of $$0.0000381$$ meters has a mass of about $$1.74 \times 10^{-11}$$ kilograms and a downward terminal velocity of approximately $$0.295$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.02$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 33.3$$.

The velocity after $$0.02$$ seconds is approximately $$-0.143$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 39)

A water droplet with a radius of $$0.000294$$ meters has a mass of about $$7.95 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.819$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.02$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 12.0$$.

The velocity after $$0.02$$ seconds is approximately $$-0.174$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 40)

A water droplet with a radius of $$0.0000813$$ meters has a mass of about $$1.69 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.431$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 22.8$$.

The velocity after $$0.03$$ seconds is approximately $$-0.213$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 41)

A water droplet with a radius of $$0.0000666$$ meters has a mass of about $$9.27 \times 10^{-11}$$ kilograms and a downward terminal velocity of approximately $$0.390$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 25.2$$.

The velocity after $$0.04$$ seconds is approximately $$-0.247$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 42)

A water droplet with a radius of $$0.0000809$$ meters has a mass of about $$1.66 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.430$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 22.8$$.

The velocity after $$0.04$$ seconds is approximately $$-0.257$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 43)

A water droplet with a radius of $$0.0000386$$ meters has a mass of about $$1.81 \times 10^{-11}$$ kilograms and a downward terminal velocity of approximately $$0.297$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 33.0$$.

The velocity after $$0.04$$ seconds is approximately $$-0.218$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 44)

A water droplet with a radius of $$8.70 \times 10^{-6}$$ meters has a mass of about $$2.07 \times 10^{-13}$$ kilograms and a downward terminal velocity of approximately $$0.141$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.02$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 69.6$$.

The velocity after $$0.02$$ seconds is approximately $$-0.106$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 45)

A water droplet with a radius of $$0.000316$$ meters has a mass of about $$9.93 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.850$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 11.5$$.

The velocity after $$0.03$$ seconds is approximately $$-0.249$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 46)

A water droplet with a radius of $$0.0000743$$ meters has a mass of about $$1.29 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.412$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.04$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 23.8$$.

The velocity after $$0.04$$ seconds is approximately $$-0.253$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 47)

A water droplet with a radius of $$0.000325$$ meters has a mass of about $$1.08 \times 10^{-8}$$ kilograms and a downward terminal velocity of approximately $$0.862$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 11.4$$.

The velocity after $$0.03$$ seconds is approximately $$-0.249$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 48)

A water droplet with a radius of $$0.0000267$$ meters has a mass of about $$5.98 \times 10^{-12}$$ kilograms and a downward terminal velocity of approximately $$0.247$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.03$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 39.7$$.

The velocity after $$0.03$$ seconds is approximately $$-0.172$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 49)

A water droplet with a radius of $$0.000129$$ meters has a mass of about $$6.68 \times 10^{-10}$$ kilograms and a downward terminal velocity of approximately $$0.542$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.02$$ seconds.

The IVP is given by

$v'+Av=-g \hspace{3em} v(0)=0$

where $$g=9.81$$ and $$A\approx 18.1$$.

The velocity after $$0.02$$ seconds is approximately $$-0.165$$ meters per second.

C3m - Model and analyze the vertical motion of an object with linear drag (ver. 50)

A water droplet with a radius of $$0.000160$$ meters has a mass of about $$1.28 \times 10^{-9}$$ kilograms and a downward terminal velocity of approximately $$0.604$$ meters per second.

Write an initial value problem (IVP) modeling the velocity of this water droplet when dropped from rest, assuming that the acceleration due to gravity is roughly $$9.8\hspace{0.3em}\mathrm{m}/\mathrm{s}^2$$. Then solve this IVP to compute the droplet's velocity after $$0.02$$ seconds.

$v'+Av=-g \hspace{3em} v(0)=0$
where $$g=9.81$$ and $$A\approx 16.2$$.
The velocity after $$0.02$$ seconds is approximately $$-0.168$$ meters per second.