A ball is thrown horizontally from a height with a certain initia… - Vidyadip

MCQ

A ball is thrown horizontally from a height with a certain initial velocity at time $t=0$. The ball bounces repeatedly from the ground with the coefficient of restitution less than $1$ as shown below. Neglecting air resistance and taking the upward direction as positive, which figure qualitatively depicts the vertical component of the ball's velocity $v_y$ as a function of time $t$ ?

A
✓
C
D

✓

Answer

Correct option: B.

b
(b)

When ball is released, vertical component of ball's velocity first increases in negative direction (downwards), then on collision with floor, its velocity is reversed (upwards).

As acceleration remains constant, so lines are parallel to each other as given in option $(b)$.

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