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An object with mass 40.5 kg is given an initial downward velocity -3ms in a medium...

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Advance Math

An object with mass 40.5 kg is given an initial downwardvelocity -3ms in a medium that exerts a resistive force withmagnitude proportional to the square of the speed. The resistanceis 80 N when the velocity is -4m/s. Use g=10m/s^2

a. Write out a differential equation in terms of the velocity v,and acceleration a



b. Find the velocity v(t) for the object

v(t)=

c. Upload a document with the work for parts a and b and a computergenerated solution curve with a window appropriate for thissituation.




d. State and interpret the end behavior for the solution found inpart b.

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