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5 May, 13:45

Create a quadratic equation then solve the equation with a related function. You can use a table, graph, or graphing calculator.

A skydiver jumps out of a plane 5,000 feet above the ground and her parachute opens 3,000 feet above the ground. The function h (t) = - 16t^2 + 5,000, where t represents the time in seconds, gives the height h, in feet, of the skydiver as she falls. When does her parachute open? Round to the nearest second.

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  1. 5 May, 16:25
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    Her parachute opens when h (t) = 3,000.

    3000 = - 16t^2 + 5000

    16t^2 = 5000 - 3000 = 2000

    t^2 = 2000 / 16 = 125

    t = sqrt (125) = 11 seconds.
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