. Velocity A ball is thrown vertically into the air from the ground with all velocity of 96 ft/sec. Its height, in feet, as a function of time, in seconds, is giv by h(t) = 96t – 16 t² . Find the velocity of the ball at t = 0, 1, 2, 3, 4, 5, a 6 seconds, using proper notation (you can use either prime or Leibniz). Then this to sketch the graph of the ball's velocity as a function of time. What do notice about its shape? Explain in terms of the application (a ball experienc- the force of gravity). h(t) = 96t - 1 140

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