Derivatives of Trig Functions: Videos & Practice Problems

Two cyclists A and B are racing on a circular track. Their angular positions during the race are given by the functions $\alpha \left(t\right)$ for A and $\beta \left(t\right)$ for B, where $t$ is time in seconds and $0\le t\le 10$. At $t=0$, both cyclists are at the starting line, and at $t=10$, they have both completed one full circle. Which cyclist has the greater average angular velocity?