# The position of an object moving along a line is given by #p(t) = cos(t- pi /3) +1 #. What is the speed of the object at #t = (2pi) /4 #?

##### 1 Answer

Jul 12, 2016

#### Answer:

#### Explanation:

Since the equation given for the position is known, we can determine an equation for the velocity of the object by differentiating the given equation:

plugging in the point at which we want to know speed:

Technically, it might be stated that the *speed* of the object is, in fact,