### Home > APCALC > Chapter 9 > Lesson 9.1.3 > Problem9-38

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?

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

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