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Question

An elevator ascends with an upward acceleration of 2 ms2 . At the instant its upward speed is 2.5 ms1, a loose bolt is dropped from the ceiling of the elevator 3m from the floor. (g=10ms2 ). The time of flight of the bolt from the ceiling to floor approximately is


A
1s
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B
1.1s
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C
0.7s
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D
1.3s
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Solution

The correct option is C 0.7s
Velocity of bolt relative to elevator = 2.5 - 2.5 = 0
Acceleration of bolt relative to elevator a = 10 - (-2) = 12 ms1
Using the relation, s=ut+12at2, we have 3.0=0×t+12×12t2t=12s=0.7s

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