# motion in a circle

## 05 - Two runners moving in opposite directions in a circular track

**Problem**

Benjie and Jerwin is running in opposite directions in a 400-meter circular track and meet each other every 35 seconds. If Benjie can complete one track in 65 seconds. How long does it take for Jerwin to run 400 meters?

## 04 - Two runners moving in the same direction in an oval track

**Problem**

Runners A and B start together in a race around a 900-ft oval track. Runner A is making a speed of 27 ft/sec and runner B at 22.5 ft/sec. How long will it take runner A to be exactly one circumference ahead of runner B.

## Motion-related Problems

**Motion with constant velocity**

The distance traveled is the product of velocity and time.

$s = vt$

were,*s* = distance*v* = velocity*t* = time

It follows that

$t = \dfrac{s}{v}$ and $v = \dfrac{s}{t}$

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