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

Austin Takes 1 Min 45 Seconds To Run 3 Quarters Of A Circular Track His Rate Of Motion Is Pi Radians Per Second class=

Sagot :

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.

[tex]rate=\frac{\frac{3\pi}{2}}{105}[/tex][tex]=\frac{3\pi}{2}\cdot\frac{1}{105}[/tex][tex]=\frac{\pi}{2}\cdot\frac{1}{35}[/tex][tex]=\frac{\pi}{70}[/tex]

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

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