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

##### 1 Answer

Mar 25, 2017

The rate of acceleration is

in the direction

#### Explanation:

The velocity is

Acceleration is the first derivative of the velocity

When

The object rate of acceleration is

The direction is

The angle is in the 2nd quadrant and is