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Q.

A balloon from rest accelerates uniformly upward with 'a' ms-2. A stone is released from the balloon. Now, read the following statements to pick the right ones.
a) The stone's initial velocity is zero, relative to balloon
b) The stone's initial velocity is nonzero, relative to earth
c) The time taken to reach the ground from the balloon's frame of reference is inversely proportional to (a+g).
d) The time take to reach the ground from earth's frame of reference is directly proportional to (a+g).

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a

a, b, c

b

a, c, d

c

a, c

d

a, b, d

answer is A.

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Detailed Solution

The stone, once released will have a velocity equal to the instantaneous velocity of the balloon wrt earth but wrt ballon it will have not have any initial velocity. Thus both a and b are true

The stone after release will have an acceleration of g downwards. So acceleration with respect to balloon will be g+a. Therefore c is true. 

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