Q.

A ball is dropped from a bridge 122.5 m above a river. After the ball has been falling for 2s, a secondball is thrown straight down after it. What must be the initial velocity of the second ball, so that bothball hit the water at the same time?

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a

40 ms-1

b

55.5 ms-1

c

26.1 ms-1

d

9.6 ms-1

answer is C.

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Detailed Solution

Let the ball hit water in t second.For first ball,         s=ut+12at2                   122.5=0+12×9.8×t2=4.9t2 ⇒                        t=122.54.9=25=5 sFor second ball,  122.5=u(5-2)+12×9.8×(5-2)2                                     = 3u + 44.1⇒                           3u = 122.5 ~ 44.1                                3u = 78.4 ⇒ u = 26.1 ms-1
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