# The position of an object moving along a line is given by #p(t) = 5t - cos(( pi )/3t) + 2 #. What is the speed of the object at #t = 13 #?

##### 1 Answer

May 31, 2018

or

#### Explanation:

The position function is given as

We differentiate to obtain a velocity function

Substitute

which can be simplified to

or