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A balloon starts rising from the surface of earth. The ascent rate is constant and equal to $v_{0}$ . Due to wind the balloon gathers the horizontal velocity component $v_{x}$ = Ay. While A is constant and if y is the height of ascent, the horizontal drift of the balloon is:

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Ay22v0

Ay2v0

Ay22v02

Ay2v0

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detailed solution

Correct option is A

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

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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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Ready to Test Your Skills?

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A balloon starts rising from the surface of earth. The ascent rate is constant and equal to $v_{0}$ . Due to wind the balloon gathers the horizontal velocity component $v_{x}$ = Ay. While A is constant and if y is the height of ascent, the horizontal drift of the balloon is: