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8 May, 15:02

The height in feet of a skydiver t seconds after deploying her parachute is given by h (t) = - 300t + 1000. A ball is thrown up toward the skydiver, and after t seconds, the height of the ball in feet is given by h (t) = - 16t2 + 100t. When does the ball reach the skydiver?

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  1. 8 May, 16:06
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    The ball reaches skydiver at 2.81 seconds.

    Step-by-step explanation:

    Height of sky diver

    h (t) = - 300t + 1000

    Height of ball

    h (t) = - 16t² + 100t

    We need to find when does the ball reach the skydiver

    That is both heights are equal

    -300t + 1000 = - 16t² + 100t

    16t² - 400t + 1000 = 0

    t = 22.18 s or t = 2.81 s

    The ball reaches skydiver at 2.81 seconds.
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