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

##### 1 Answer

#### Explanation:

We're asked to find the object's acceleration at time

To do this, we need to find the object's acceleration components as a function of

Finding the derivative of velocity component equations, we have

At time

The magnitude (rate) of the acceleration is

The direction of the acceleration is

measured anticlockwise from the positive

The