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A balloon moves up vertically such that if a stone is projected with a horizontal velocity u relative to balloon, the stone always hits the ground at a fixed point at a distance 2u 2 /g horizontally away from it. Find the height of the balloon as a function of time.

A balloon moves up vertically such that if a stone is projected with a horizontal velocity u relative to balloon, the stone always hits the ground at a fixed point at a distance 2u2/g horizontally away from it. Find the height of the balloon as a function of time.

Grade:Select Grade

1 Answers

Shobhit Varshney IIT Roorkee
askIITians Faculty 33 Points
7 years ago
Dear student,

The height of the balloon is constant with respect to time. As the range is given to be constant every time, the height has to be constant, since the range will depend upon the time taken by stone to reach the ground , which depends upon height of balloon.

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