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Question: A ball rolls off the top of a strairway horizontally with a velocity of 4.5 m s<sup>–1</sup>. Each s...

A ball rolls off the top of a strairway horizontally with a velocity of 4.5 m s–1. Each step is 0.2 m high and 0.3 m wide. If g is 10 m s–2, then the ball strike the nth step where n is equal to –

A

9

B

10

C

11

D

12

Answer

9

Explanation

Solution

R = u2Hgu\sqrt{\frac{2H}{g}}

n w = u2(nh)gu\sqrt{\frac{2(nh)}{g}} ̃ n = 2u2hgw2\frac{2u^{2}h}{gw^{2}}