An elevator ascends with an upward acceleration of 2.0 ms^ -2 . At the instant its upward speed is 2.5 ms^ -1 , a loose bolt is dropped from the ceiling of the elevator 3.0 m from the floor. If g = 10 ms^ -2 , then

JEE Main Physics question

Physics Motion in a Straight Line JEE Main

An elevator ascends with an upward acceleration of 2.0 ms. At the instant its upward speed is 2.5 ms, a loose bolt is dropped from the ceiling of the elevator 3.0 m from the floor. If g = 10 ms, then

(A)The time of flight of the bolt from the ceiling to the floor of the elevator is 0.71 sCorrect
(B)The displacement of the bolt during the free fall relative to the elevator shaft is 0.75 mCorrect
(C)The distance covered by the bolt during the free fall relative to the elevator shaft is 1.38 mCorrect
(D)The distance covered by the bolt during the free fall relative to the elevator shaft is 2.52 m

Answer: (A),(B),(C)

Solution

Relative to the elevator, the bolt has zero initial velocity and a relative (effective) deceleration of ms (pseudo-force frame): s — (A) true. In the ground frame, the bolt is released with ms (up) and decelerates under

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Question ID VK-152180