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Physics Motion in a Straight Line Relative Motion MCQ (Single Correct)

A particle is thrown up inside a stationary lift of sufficient height. The time of flight is T. Now it is thrown again with same initial speed v 0 with respect to lift. At the time of second throw, lift is moving up with speed v 0 and uniform acceleration g upward (the acceleration due to gravity). The new time of flight is–

A
B

C
T
D
2 T

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The correct answer is:
B

With respect to lift initial speed = v 0

acceleration = – 2g

displacement = 0

∴ S = ut + at 2

0 = v 0 T' + × 2g × T' 2

∴ T' = = × = T

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