# How long will you chase?

**Classical Mechanics**Level 3

A boy runs on a circular path of radius \( R=28\text{ meters}\) with constant speed \(u=4 \text{ m/s}\).

Another boy starts from the center of the circle to catch the first boy. The second boy always moves towards the first one. and maintains a speed of \(v = 4\text{ m/s}\). How long will the chase last in seconds?

**Details and Assumptions**:

1) Ignore air friction.

2) Take \(\pi = \dfrac{22}7\).