Question

A particle moves according to the equation $v=a\sqrt{x}$. Find the average velocity in the first $s$ meters of the path.

• A. $\frac{\sqrt{s}}{a}$
• B. $\frac{\sqrt{s}}{2a}$
• C. $\frac{2a}{\sqrt{s}}$
• D. $\frac{a\sqrt{s}}{2}$

Answer 1

The correct option is D $\frac{a\sqrt{s}}{2}$

We know that $v_{avg}$ is given as

$V_{avg}=\frac{v_i+v_f}{2}$

So, for first $s$ meters,

$V_{avg}=\frac{a\sqrt{s}}{2}$