A ball hits a vertical wall horizontally a

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A ball hits a vertical wall horizontally at $10m/s$  bounces back at $10 m/s$ 

A

There is no acceleration because $10\,\frac{m}{s} - \,10\frac{m}{s} = 0$

B

There may be an acceleration because its initial direction is horizontal

C

There is an acceleration because there is a momentum change

D

Even though there is no change in momentum there is a change in direction. Hence it has an acceleration

A ball hits a vertical wall horizontally at $10m/s$  bounces back at $10 m/s$ 

As the ball bounces back with same speed so change in momentum $= 2 mv$
and we know that force = rate of change of momentum
i.e. force will act on the ball so there is an acceleration.