# 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?

Oct 12, 2016

$0 , - 12$

#### Explanation:

$v \left(t\right) = 36 - {t}^{2} , q \quad t \in \left[0 , 6\right]$

$v \left(6\right) = 36 - {6}^{2} = 0$

$a \left(t\right) = \dot{v} \left(t\right) = - 2 t$

$a \left(6\right) = - 12$