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

##### 1 Answer

Jul 20, 2017

#### Explanation:

We're asked to find the speed of an object at

To do this, we need to find the object's *velocity* as a function of time, by **differentiating** the position equation:

Now all we have to do is plug in

(The *dimensional form* of velocity; I used it here merely because no units were given.)