# The position of an object moving along a line is given by #p(t) = 4t - sin(( pi )/3t) #. What is the speed of the object at #t = 8 #?

##### 1 Answer

Mar 27, 2017

#### Answer:

#### Explanation:

In this case,

we know that,

Instantaneous speed=

where "dx" denotes the position of an object at a particular moment (instant) in time and "dt" denotes the time interval.

Now,by using this formula,we have to differentiate the above equation

**At t=8,**

So the answer will be