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.

Answer 1

0.779m/s

Step-by-step 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