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)

$s^2 \propto t^3$

Answer 2

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