Question

The velocity of an object in meters per second is `v(t) = 36-t^2` for `0<= t <= 6`. What is the velocity and acceleration of the object when t = 6?

Answer 1

`0, -12`

Explanation:

`v(t) = 36-t^2, qquad t in [0,6]`

`v(6) = 36 - 6^2 = 0`

`a(t) = dot v(t) = - 2t`

`a(6) = -12`