A skateboarder leaves a 12-foot tall ramp with an initial vertical velocity of 8 feet per second. The function f (h) = - 8t^2 + 8t + 12 represents the height, h, in feet of the skateboarder after t seconds. How many seconds was the skateboarder airborne?

Question

Pugsley

Mathematics

22 May, 23:41

A skateboarder leaves a 12-foot tall ramp with an initial vertical velocity of 8 feet per second. The function f (h) = - 8t^2 + 8t + 12 represents the height, h, in feet of the skateboarder after t seconds. How many seconds was the skateboarder airborne?

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Answers (1)

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Ronin Durham · Answer 1

To answer this, we substitute 12 ft to the f (h) in the given equation,

f (h) = - 8t² + 8t + 12 = 12

Subtracting 12 from both sides of the equation will give us an answer of,

-8t² + 8t = 0

Then, we transpose 8 to the other side and divide the equation by - 8 and t, we get an answer of t = 1 second.