CPM Homework Help : APCALC Problem 9-38

During a $10$ -minute race, Boris’ velocity in meters per minute was $v(t) = 0.5t^2 - 0.05t^3$ . At what time(s) was Boris’ velocity was equal to his average velocity?

Hint:

Average velocity is total distance divided by total time. How can you use the given velocity equation to calculate Boris' total distance?

Step:

$v_{\text{avg}}=\frac{1}{10}\int_0^{10}v(t)dt$