Laws of MotionHard

Question

A person standing on the floor of an elevator drops a coin. The coin reaches the floor of the elevator in time t1 when elevator is stationary and in time t2 if it is moving uniformly. Then

Options

A.t1 = t2
B.t1 > t2
C.t1 > t2
D. t1 < t2 or t1 > t2 depending upon that elevator is moving upwards or downwards       

Solution

(A) h = gt12 ......(1)

Relative to left     urell = o    arell = g - o = g
srell  = urell  t2 + 1/2 arell
srell = h    ∴   h = gt22 ....(2)
By (1) & (2) gt12 = gt22 ⇒ [t1 = t2]

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