# An object's two dimensional velocity is given by #v(t) = ( e^t-2t , t-4e^2 )#. What is the object's rate and direction of acceleration at #t=5 #?

##### 2 Answers

#### Answer:

The rate of acceleration is

#### Explanation:

The acceleration is the derivative of the velocity

When

The rate of acceleration is

The angle is

#### Answer:

Please see below.

#### Explanation:

As velocity is given by

accelaration is

or

Note that

and at

Its magnitude is

=

and direction is

=