# An object's two dimensional velocity is given by #v(t) = ( t^3, t-t^2sin(pi/8)t)#. What is the object's rate and direction of acceleration at #t=3 #?

##### 1 Answer

Apr 1, 2017

The rate of acceleration is

#### 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