If a stone is dropped from a height of 576 feet, its height s after t seconds is given by s(t) = 576 - 16t2, with s in feet. (a) Compute s(t). s'(t) = Find the stone's velocity at times t=0, 1, 2, 3, and 4 seconds. s'(0) = s'(1) ft/sec ft/sec s'(2) = = ft/sec ft/sec ft/sec s'(3) = s'(4) = (b) When does the stone reach the ground, and how fast is it traveling when it hits the ground? HINT [It reaches the ground when s(t) The stone is traveling at a velocity of ft/sec when it hits the ground at seconds. =