A hot-air balloon is rising upward with a constant speed of 3.50 m/s. When the b

Question

A hot-air balloon is rising upward with a constant speed of 3.50 m/s. When the balloon is 5.43 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground? Before working this problem, review Conceptual Example 15 . A pellet gun is fired straight downward from the edge of a cliff that is 28.5 m above the ground. The pellet strikes the ground with a speed of 38.9 m/s. How far above the cliff edge would the pellet have gone had the gun been fired straight upward? Review Interactive Solution 2.57 at www.wileyplus.com before beginning this problem. A woman on a bridge 80.5 m high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hit the raft. The stone is released when the raft has 7.97 m more to travel before passing under the bridge. The stone hits the water 4.31 m in front of the raft. Find the speed of the raft.

Explanation / Answer

1. t= 1.4273sec ( -5.43 = 3.5t - (9.8t^2)/2)

2. 48.705 m above

3. 0.903 m/s

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