A ball with mass 0.85 kg is thrown upward with initial velocity 30 m/s from the roof of a building 40 m high. Assume there is a force due to v² directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.

A ball with mass 0.85 kg is thrown upward with initial velocity 30 m/s from the roof of a building 40 m high. Assume there is a force due to v² directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.