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

##### 1 Answer

May 7, 2018

#### Explanation:

The position function of the object is given by:

Since the velocity is displacement over time, it means that it the rate of changing the position over time, or the derivative of the function.

Then we got,

Let's find the hardest part, which I think is:

We get:

Let

Then,

Combine to get:

So,

And now, we get:

So, at