A potato of mass 0.5 kg moves under Earth's gravity with an air resistive force of −kmv.
(a) Find the terminal velocity if the potato is released from rest and k=0.01 s−1.
(b) Find the maximum height of the potato if it has the same value of k, but it is initially shot directly upward with a student-made potato gun with an initial velocity of 120 m/s.