# The position of an object moving along a line is given by #p(t) = 2t - 2tsin(( pi )/4t) + 2 #. What is the speed of the object at #t = 7 #?

##### 1 Answer

Jul 12, 2017

#### Answer:

#### Explanation:

We're asked to find the *speed* of an object with a known position equation (one-dimensional).

To do this, we need to find the *velocity* of the object as a function of time, by differentiating the position equation:

The speed at

The *speed* of the object is the magnitude (absolute value) of this, which is

The negative sign on the velocity indicates that the particle is traveling in the negative