A ball is thrown up at an angle with the horizontal. Then the total change of momentum by the instant it returns to ground is

Options

A. acceleration due to gravity `xx` total time of flight
B. weight of the ball `xx` half the time of flight
C. weight of the ball `xx` total time of flight
D. weight of the ball `xx` horizontal range

Answer

C

Explanation

Change in momentum of the ball
`= mv sin theta- (- mv sin theta)`
`=2mv sin theta = mg xx(2 v sin theta)/(g)`
=weight of the ball `xx` total time of light