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

##### 1 Answer

Jun 20, 2016

In one dimension, speed is just the magnitude of velocity, such that if we had a negative value we would just take the positive version.

To find the speed function, we will need to differentiate the position function with respect to t:

Let

(I've assumed proficiency with the product and chain rule)

Therefore the speed at