# The position of an object moving along a line is given by #p(t) = 2t - cos(( pi )/6t) #. What is the speed of the object at #t = 7 #?

##### 1 Answer

Jul 15, 2017

#### Explanation:

We're asked to find the *speed* of an object moving in one dimension at a given time, given its position-time equation.

We therefore need to find the *velocity* of the object as a function of time, by **differentiating** the position equation:

At time

(The term *dimensional form* of the units for velocity (