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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

The IVP is given by

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

where \(g=9.81\) and \(A\approx 16.2\).The velocity after \(0.02\) seconds is approximately \(-0.168\) meters per second.