# An object's two dimensional velocity is given by #v(t) = ( 5t-t^3 , 3t^2-2t)#. What is the object's rate and direction of acceleration at #t=7 #?

##### 1 Answer

May 14, 2017

The rate of acceleration is

#### Explanation:

The acceleration is the derivative of the velocity.

Therefore,

The rate of acceleration is

The direction is