If the distance travelled by a moving object varies directly as the cube of time, how does the acceleration of the body depend on time?

Options

A. increasing with time
B. decreasing with time
C. constant but not-zero
D. zero

Answer

A

Explanation

`x prop t ^(3)`
`x = kt ^(3) , (dx)/(dt) = 3 kt ^(2) , a = (d ^(2) x )/( dt ^(2)) = 6 kt .`
So with time, acceleration increases.