Use the position function  s(t) = −16t2 + 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 − t t→a A construction worker drops a full paint can from a height of 500 feet. When, in seconds, will the paint can hit the ground? At what velocity, in feet per second, will the paint can impact the ground?

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