A body is moved in straight line by constant power of machine. What will be the relation between the travelling distance and time?

Options

A. `S^2 prop t^3`
B. `S^2 prop t`
C. `S^3 prop t^2`
D. `S prop t^3`

Answer

A

Explanation

Power `= [ML^2 T^(-3)]` constant
`therefore [(ML^2)/(T^3)]` = constant
`therefore [L^2] prop [T^3]`
or `S^2 prop t^3`