A woman on a bridge 93.7 m high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hi

Question

A woman on a bridge 93.7 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 4.94 m more to travel before passing under the bridge. The stone hits the water 1.53 m in front of the raft. Find the speed of the raft.

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Ngọc Diệp 3 years 2021-07-24T20:32:26+00:00 1 Answers 35 views 0

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    2021-07-24T20:33:38+00:00

    Answer:

    0.779m/s

    Explanation:

    A woman on a bridge 93.7m high sights a raft floating at a constant speed

    She drops a stone from rest in an attempt to hit the raft

    The stone is released when the raft had 4.94m to travel before passing under the bridge

    The stone hits the water 1.53 m in front of the raft

    The first step is to calculate the distance

    = 4.94 m-1.53 m

    = 3.41m

    The time can be calculated as follows

    = √2(93.7)/9.8

    = √187.4/9.8

    = √19.12244

    = 4.373 secs

    Therefore the speed of the raft can be calculated as follows

    Speed= 3.41/4.373

    = 0.779m/s

    Hence the speed of the raft is 0.779m/s

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