# The position of an object moving along a line is given by #p(t) = sin(3t- pi /4) +2 #. What is the speed of the object at #t = (3pi) /4 #?

##### 1 Answer

Jun 4, 2016

Velocity of an object is the time derivative of it's position coordinate(s). If the position is given as a function of time, first we must find the time derivative to find the velocity function.

#### Explanation:

We have

Differentiating the expression,

Now, by definition,

Thus,

At