Question

Austin takes 1 min 45 seconds to run 3 quarters of a circular track. His rate of motion is pi/ radians per second

Answer 1

Given:

3/4 of a circular track = 270 degrees = 3pi/2

1 minute and 45 seconds = 105 seconds

To find his rate of motion, we just need to divide the distance he travelled over the time he took to travel that distance.

`rate=((3\pi)/(2))/(105)`
`=(3\pi)/(2)\cdot(1)/(105)`
`=(\pi)/(2)\cdot(1)/(35)`
`=(\pi)/(70)`

Therefore, the answer is pi/70 radians per second.