Question

A body starts from rest, under the action of an engine working at a constant power and moves along a straight line. The displacement S is given as a function of time (t) as

• A. S = at + bt$^2$, a, b are constants
• B. S = bt$^2$, b is a constant
• C. s=a t3/2,a is a constant
• D. S = at, a is a constant

Answer 1

Answer: (C)

s=a t3/2,a is a constant

Answer 2

The correct option is(C): s=a t3/2,a is a constant.

$p=\frac{\Delta KE}{\Delta t} =\frac{\frac{1}{2}mv^{2}}{t}$
$\therefore V\propto\sqrt{t,}\frac{dx}{dt}\propto\sqrt{t,}$
$\therefore X\propto t\frac{3}{2}$