A particle of mass $m$ moves on a straight line
Question:

A particle of mass $m$ moves on a straight line with its velocity varying with the distance travelled according to the equation $v$ $=\mathrm{a} \sqrt{\mathrm{x}}$, where $\mathrm{a}$ is a constant. Find the total work done by all the forces during a displacement from $\mathrm{x}=0$ to $\mathrm{x}=\mathrm{d}$.

Solution: