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17 September, 12:29

A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height, h (in feet), from the ground is modeled by h-16t2+56t where t is measured in seconds. What is the practical domain in this situation?

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  1. 17 September, 13:29
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    h = - 16t² + 56t

    0 = - 16t² + 56t

    0 = - 16t (t - 4)

    0 = - 16t 0 = t - 4

    0 = t 4 = t

    Domain: 0 ≤ t ≤ 4 Interval Notation: [0, 4]

    NOTE: 0 seconds is the moment the ball is being kicked. 4 seconds is the moment it lands on the ground.
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