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

##### 1 Answer

Jan 10, 2018

The rate of acceleration is

#### Explanation:

The acceleration is the derivative of the velocity.

Therefore,

When

The acceleration is

The rate of acceleration is

The direction is