Question

A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The displacement (s) - time (t) graph that describes the motion of the particle is (graphs are drawn schematically and are not to scale) :

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is C

$\frac{ dK }{ dE }= P =\cos \,t $
$\Rightarrow K = Pt =\frac{1}{2} mV ^{2}$
$\therefore V =\sqrt{\frac{2 Pt }{ m }}=\frac{ ds }{ dt }$
$\therefore S =\sqrt{\frac{2P }{ m }} \frac{2}{3} t ^{\frac{3}{2}}$