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  • Question: A person is running in a circular track at a constant speed of 6ms. A friend is standing in the circular track and sees the runner at a 30° angle from the center of the track. How fast is the distance between the runner and their friend changing at this precise time?

    A person is running in a circular track at a constant speed of 6ms. A friend is standing in the circular track and sees the runner at a 30° angle from the center of the track. How fast is the distance between the runner and their friend changing at this precise time?
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    There are 4 steps to solve this one.
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    Step 1

    Step 1:At first we are going to understand the situation

    The runner is moving at a constant speed  v=6ms  around a circular track.

    Explanation:


    The angle subtended between the runner and the friend, as viewed from the center of the circle, is  

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