In: Advanced Math
An object with mass 40.5 kg is given an initial downward
velocity -3ms in a medium that exerts a resistive force with
magnitude proportional to the square of the speed. The resistance
is 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 computer
generated solution curve with a window appropriate for this
situation.
d. State and interpret the end behavior for the solution found in
part b.