The position of an object moving along a line is given by #p(t) = 3t - 2sin(( pi )/8t) + 2 #. What is the speed of the object at #t = 24 #?
The first time derivative of a position of an object gives the velocity of the object
So, to get the velocity of the object we differentiate the position with respect to
So speed at
Hence the speed of the object at