Chapter 20, Problem 45CP

(a)

To determine

To show: The average of the velocity $v_1$ and $v_2$ is $v_{\text{avg}}$.

(b)

To determine

To show: The rms velocity is $v_{\text{rms}}^2=v_{\text{avg}}^2\left(2-2a+a^2\right)$.

(c)

To determine

To show: The rms velocity is greater than the average velocity.

(c)

To determine

The condition in which the $v_{\text{rms}}=v_{\text{avg}}$.