Question

How do you find the acceleration for the function `s(t)=t^3+3t^2` ?

Answer 1

Let us first find the velocity function `v(t)`.
`v(t)=s'(t)=3t^2+6t`

Let us now find the acceleration function `a(t)`.
`a(t)=v'(t)=s''(t)=6t+6`