Question

A particle starts from rest, under the action of force F, in a straight line. Work done by the force on the particle changes with time ${}^{\prime }{t}^{\prime }$ as shown. The acceleration of the particle is proportional to the time as:

Answer 1

Slope $=\frac{W}{t}=\frac{F\cdot dx}{t}=F\cdot V(W=F\cdot x)$
Since, slope is constant it means $V$ is also constant
$\therefore a$ is independent of time $\left(1\right)t^o$