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

##### 1 Answer

#### Answer:

#### Explanation:

Velocity is defined as

Therefore, in order to find speed we need to differentiate function

For the second term will need to use the product rule and chain rule as well. We get

Now speed at

Inserting values of