The work done is given as,
[tex]W=F\cdot x\ldots(1)[/tex]Here, F is the force and x is the displacement.
The velocity is defined as,
[tex]\begin{gathered} v=\frac{displacement}{\text{time}} \\ =\frac{x}{t}\ldots(2) \end{gathered}[/tex]The power is defined as the rate of doing work. Mathematically,
[tex]P=\frac{W}{t}[/tex]Using equation (1),
[tex]\begin{gathered} P=\frac{F\cdot x}{t} \\ =F\cdot\frac{x}{t} \end{gathered}[/tex]Using equation (2),
[tex]P=F\mathrm{}v[/tex]Hence, the power can also be defined as force time velocity. Therefore, the given statement is true.
