BITSAT 2020 Paper

Let's consider a body is moved along a straight line by a machine delivering a constant power P. The distance moved by the body is S.
Power, P=F⋅v......(1)
Force, F=ma.......(2)
where, v=‌

S

t

acceleration, a=‌

S

t2

m= mass
from equation (1) and equation (2), we get
P=‌

mS

t2

×‌

S

t

S2=‌

Pt3

m

From the above equation, we get
S2∝t3
S∝t3∕2