# The position of an object moving along a line is given by #p(t) = 3t - 2sin(( pi )/8t) + 2 #. What is the speed of the object at #t = 24 #?

##### 1 Answer

Sep 3, 2016

#### Explanation:

The first time derivative of a position of an object gives the velocity of the object

So, to get the velocity of the object we differentiate the position with respect to

So speed at

Hence the speed of the object at