Question

A hot-air balloon is drifting in level flight due east at 2.5 m/s due to a light wind. The pilot suddenly notices that the balloon must gain 22 m of altitude in order to clear the top of a hill 140 m to the east.

Part A

How much time does the pilot have to make the altitude change without crashing into the hill?
Express your answer to two significant figures and include appropriate units.

Part B

What minimum, constant, upward acceleration is needed in order to clear the hill?
Express your answer to two significant figures and include appropriate units.

Part C

What is the horizontal component of the balloon’s velocity at the instant that it clears the top of the hill?
Express your answer to two significant figures and include appropriate units

Part D

What is the vertical component of the balloon’s velocity at the instant that it clears the top of the hill?
Express your answer to two significant figures and include appropriate units.