# An object's two dimensional velocity is given by #v(t) = ( 3t^2 - 2t , 1- 3t )#. What is the object's rate and direction of acceleration at #t=5 #?

##### 1 Answer

The acceleration is

#### Explanation:

The acceleration is the rate of change of the velocity, and is found as the first derivative of the velocity. We can treat the

We can recombine these dimensions:

Interestingly, the acceleration in the

At

We can use Pythagoras' theorem to find the magnitude and the tangent to find the direction of the resultant acceleration vector.