# An object's two dimensional velocity is given by #v(t) = ( t-2t^3 , 4t^2-t)#. What is the object's rate and direction of acceleration at #t=1 #?

##### 1 Answer

Dec 18, 2017

The rate of acceleration is

#### Explanation:

The acceleration is the derivative of the velocity

Here,

Therefore,

When

The rate of acceleration is

The direction of acceleration is