# The position of an object moving along a line is given by #p(t) = sin(t- pi /2) +3 #. What is the speed of the object at #t = pi/6 #?

##### 1 Answer

Dec 9, 2017

#### Answer:

The speed is

#### Explanation:

The position of the object is

The speed is the derivative of the position

Therefore,

When

The speed is