# The position of an object moving along a line is given by #p(t) = 2t^3 - 2t^2 +1#. What is the speed of the object at #t = 3 #?

##### 1 Answer

Aug 11, 2017

#### Explanation:

The speed of an object is the *magnitude* of the object's **velocity** , which is the derivative of **displacement** (magnitude is position).

To find the speed of the object at time

#p(t)=2t^3-2t^2+1#

#=>p'(t)=v(t)=6t^2-4t#

At

#v(t)=6(3)^2-4(3)#

#=54-12#

#=42#