# The position of an object moving along a line is given by #p(t) = 2t - sin(( pi )/6t) #. What is the speed of the object at #t = 4 #?

##### 1 Answer

Apr 9, 2016

Speed at *t = 4*:

#### Explanation:

If we are given position as a function of time, then the function for speed is the differential of that position function.

Differentiate *p(t)*:

• Differential of

Now substitute in the value of *t* to find the value of speed at that time (*t = 4*):