# The position of an object moving along a line is given by #p(t) = 2t - 2sin(( pi )/8t) + 2 #. What is the speed of the object at #t = 12 #?

##### 1 Answer

May 24, 2017

#### Explanation:

We're asked to find the instantaneous

The equation for instantaneous *derivative* of position with respect to time:

The derivative of a constant is

Now, let's plug in the time