Question

A body is being moved along a straight line by a machine delivering a constant power. The distance covered by the body in time t is proportional to

• A. $\sqrt{1}$
• B. $t^{3/2}$
• C. $t^{3/4}$
• D. $t^2$

Answer 1

The correct option is B $t^{3/2}$

P = Fv = constant or ma . at = constant or $a^{2}t$=constant
$\because S=\frac{1}{2}a{t}^{2}orS\propto a{t}^{2}Buta\propto \frac{1}{\sqrt{t}}\therefore S\propto \frac{t^2}{\sqrt{t}}orS\propto t^{3/2}$