In physics it is shown that the heights of a ball thrown straight up with an initial velocity of 192 ft/sec from ground level is s = s(t) = - 16t + 192t, where t is the elapsed time that the ball is in the air. Complete parts (a) through (g). (a) When does the ball strike the ground? That is, how long is the ball in the air? seconds (b) What is the average velocity of the ball from t = 0 to t = 3? ft/sec (c) What is the instantaneous velocity of the ball at time t? s'(t) = (d) What is the instantaneous velocity of the ball at t = 3? ft/sec BRUIN (e) When is the instantaneous velocity of the ball equal to zero? seconds (f) How high is the ball when its instantaneous velocity equals zero? feet (g) What is the instantaneous velocity of the ball when it strikes the ground? ft/sec

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