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Q.

A balloon starts rising from the surface of earth. The ascent rate is constant and equal to v0. Due to wind the balloon gathers the horizontal velocity component vx = Ay. While A is constant and if y is the height of ascent, the horizontal drift of the balloon is:

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a

Ay22v0

b

Ay2v0

c

Ay22v02

d

Ay2v0

answer is A.

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Detailed Solution

vertical displacment  y=v0t,     ; t =yv0 horizontal displacement x=∫vxdt =∫Aydt =∫Av0tdt=Av0t22  =Av0yv022=Ay22v0
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