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 ?

Options

A. `s^2 alpha t^3`
B. `s^2 alpha t^(-3)`
C. `s^3 alpha t^2`
D. `s alpha t^3`

Answer

A

Explanation

Power `=("work")/("time") = ( F xxS )/(t) = m (S )/( t^2) xx (S )/(t)`
` therefore ` Power ` prop (S^2)/(t^3) or S^2 prop t^3`