The position of an object moving along a line is given by #p(t) = 2t - cos(( pi )/3t) + 2 #. What is the speed of the object at #t = 5 #?
We're asked to find the speed of an object at
To do this, we need to find the object's velocity as a function of time, by differentiating the position equation:
Now all we have to do is plug in