Question

A construction worker working at 300 feet from the ground, drops a nail onto the ground below. The function, s(t) = -4.9t2 + 300, gives the height (in meters) of the object as it falls to the ground. The velocity at time t = 3 seconds is given by

lim s(3)-s(t)
---- --------
t->3 3-t

Evaluate this limit to find the velocity of the nail at 3 seconds.