A ball with mass 0.9kg is thrown upward with initial velocity 25(m)/(s) from the roof of a building 40m high. Assume there is a force due to air resistance of magnitude (|v|)/(30) directed opposite to
a) Calculate the time it takes for the ball to reach its highest point
b) Determine the maximum height reached by the ball
c) Find the velocity of the ball just before it hits the ground
d) Calculate the total energy of the system at the highest point