The position of an object moving along a line is given by #p(t) = cos(t- pi /3) +1 #. What is the speed of the object at #t = (2pi) /4 #?
Since the equation given for the position is known, we can determine an equation for the velocity of the object by differentiating the given equation:
plugging in the point at which we want to know speed:
Technically, it might be stated that the speed of the object is, in fact,