A particle of mass m at rest is acted upon

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A particle of mass $m$ at rest is acted upon by a force $F$ for a time $t$. Its Kinetic energy after an interval $t$ is

A

$\frac{{{F^2}{t^2}}}{m}$

B

$\frac{{{F^2}{t^2}}}{{2m}}$

C

$\frac{{{F^2}{t^2}}}{{3m}}$

D

$\frac{{F\,t}}{{2m}}$

A particle of mass $m$ at rest is acted upon by a force $F$ for a time $t$. Its Kinetic energy after an interval $t$ is

Kinetic energy $E = \frac{{{P^2}}}{{2m}} = \frac{{{{(Ft)}^2}}}{{2m}}$$ = \frac{{{F^2}{t^2}}}{{2m}}$   [As $P = F \,t$]