Use the position function s(t) = -16t + 500, which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time t = a seconds is given by lim s(a) - S(T) A construction worker drops a full paint can from a height of 500 feet. ta a - t Explanation must be thorough for full credit. (9 points possible-3 points each) a. How fast will the paint can be falling after 2 seconds? C b. When will the paint can hit the ground? c. At what velocity will the paint can impact the ground