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10 September, 15:59

The function y = - 16t2 + 486 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second.

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  1. 10 September, 16:11
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    Since we are looking for the time it takes for the stone to hit the ground, then it means that we set the height y to 0 ft.

    y = - 16t² + 486

    0 = - 16t² + 486

    16t² = 486

    t² = 30.375

    t = 5.51 seconds
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