A 500-g ball is launched upward at 60 m/s and is acted on by gravity and air resistance that can be expressed in the form −kv, where v is the ball’s velocity.
(a) Determine the ball’s velocity v(t), expressed in terms of k.
(b) Determine the ball’s height y(t), expressed in terms of k.
(c) Determine H(k), the maximum height reached by the ball, as a function of k.