Physics Practice Problems Relative Motion Practice Problems Solution: A child, who is 45 m from the bank of a river, is ...

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Solution: A child, who is 45 m from the bank of a river, is being carried helplessly downstream by the rivers swift current of 1.0 m/s. As the child passes a lifeguard on the rivers bank, the lifeguard starts swimming in a straight line until she reaches the child at a point downstream. If the lifeguard can swim at a speed of 2.0 m/s relative to the water, how long does it take her to reach the child?How far downstream does the lifeguard intercept the child?

Problem

A child, who is 45 m from the bank of a river, is being carried helplessly downstream by the rivers swift current of 1.0 m/s. As the child passes a lifeguard on the rivers bank, the lifeguard starts swimming in a straight line until she reaches the child at a point downstream.

If the lifeguard can swim at a speed of 2.0 m/s relative to the water, how long does it take her to reach the child?

How far downstream does the lifeguard intercept the child?