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Question

An elevator is moving down with 2.5 ms1. A bolt in the elevator ceiling 3 m above the elevator floor gets thrown with 2.5 ms1 in the downward direction as seen from elevator frame. How long (in seconds) does it take for the bolt to fall on the floor of the elevator ?

A
0.4
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B
0.46
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C
0.52
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D
0.56
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Solution

The correct option is D 0.56
Initial relative velocity of bolt with respect to the elevator u=2.5 m/s from the frame of reference of the elevator
s=ut+12at2
Taking downward as positive,
3=2.5t+1210t2
Solving the quadratic equation, 10t2+5t6=0
Or t=5±524(10)(6)2(10)
Or, t=5±16.2720
Taking positive sign, t=5+16.2720
t=0.56 s

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