View Question - Apply The Quadratic Formula

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The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation h = -16t^2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t^2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.

Guest Mar 27, 2017
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 #1avatar+130554 +2

When it hits the ground, h = 0 ....so we have

0 = -16t^2 + 255 we could use the quad formula, but this approach is faster

add 16t^2 to both sides

16t^2 = 255 divide both sides by 16

t^2 = 255/16 take the positive root of both sides

t = sqrt (255 /16) ≈ 4 seconds

cool cool cool

CPhill Mar 27, 2017 Post New Answer

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