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A ball rolls of the top of a stair way with a horizontal velocity u m/s. If the steps are h metre high and b metre wide, the ball will hit the edge of the nth step, if

a
n=2hu/gb2
b
n=2hu2/gb2
c
n=2hu2/gb
d
n=hu2/gb2

detailed solution

Correct option is B

The situation is shown in fig. (1)If the ball hits the nth step, then horizontal distance traversed = nb vertical distance traversed = nhHere, velocity along horizontal direction = u velocity along vertical direction = 0∴ nb=ut and nh=0+12gt2 or  t=nbu and nh=12g×nbu2∴ n=2hu2gb2

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