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A hot-air balloon is drifting in level flight due east at 2.9 m/s due to a...

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Physics

A hot-air balloon is drifting in level flight due east at 2.9m/s due to a light wind. The pilot suddenly notices that theballoon must gain 26 m of altitude in order to clear the top of ahill 120 m to the east.

GIVENS:

How much time does the pilot have to make the altitude changewithout crashing into the hill? = 41s

What minimum, constant, upward acceleration is needed in orderto clear the hill? = 3.0*10^-2m/s^2

What is the horizontal component of the balloon’s velocity atthe instant that it clears the top of the hill? = 2.9m/s

Answer & Explanation Solved by verified expert
4.4 Ratings (687 Votes)
Distance between the balloon and the hill horizontally d 120mAltitude change required to cleat the top of the hill h 26mThe balloon is drifting in level flight due east that is it hasno vertical velocityHorizontal velocity of balloon Vx0 29    See Answer
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