Question

A machine is delivering constant power to drive a body along a straight line. What is the relation between the distance travelled by the body against time?

• A. $s^{2} \propto t^{3}$
• B. $s^{2} \propto t^{-3}$
• C. $s^{3} \propto t^{2}$
• D. $s \propto t^{3}$

Answer 1

Answer: (A)

Power $=\left[ ML ^{2} T ^{-3}\right]=$ constant
$\therefore \left[\frac{ ML ^{2}}{ T ^{3}}\right]=$ constant
$\therefore \left[ L ^{2}\right] \propto\left[ T ^{3}\right]$
or $s^{2} \propto t^{3}$