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Question

An elevator is moving up with 2.5ms1. A bolt in the elevator ceiling 3 m above the elevator falls. How long (in seconds) does it take for the bolt to fall on the floor of the elevator?

A
0.73
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B
0.71
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C
0.56
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D
1.06
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Solution

The correct option is C 0.56
Initial relative velocity of bolt with respect to the elevator u=2.5m/s from the frame of reference of the elevator.
s=ut+12at2
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=0.56s

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