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.
