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.