The position of a particle moving on a straight line is proportional to the cube of the time elapsed. How does the acceleration of the particle depend on time elapsed?

Options

A. `a prop t^2`
B. `a prop 2t`
C. `a prop t^3`
D. `a prop 6t`

Answer

D

Explanation

`x prop t^3`
`v = (dx)/(dt) prop 3t^2`
`a = (dv)/(dt) prop 6t`