Q37. A ball of mass M is thrown vertically upward with an initial speed of vo. It experiences a force of air
resistance given by F = –kv, where k is a positive constant. The positive direction for all vector quantities is
upward. Express all algebraic answers in terms of M, k, vo, and fundamental constants.
a. Does the magnitude of the acceleration of the ball increase, decrease, or remain the same as the ball
moves upward? Justify your answer.
b. Determine the terminal speed of the ball as it moves downward
c. sketch a graph of velocity versus time for the upward and downward parts of the ball's flight, where
tf is the time at which the ball returns to the height from which it was thrown.
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