SOLUTION: A cat leaps trying to catch a flye. The motion of the cat can be modeled by h(d)=-32d^2+16d. The fly is staying at least 2.5 feet away from the ground. Will the cat get high enough

Algebra ->  Functions -> SOLUTION: A cat leaps trying to catch a flye. The motion of the cat can be modeled by h(d)=-32d^2+16d. The fly is staying at least 2.5 feet away from the ground. Will the cat get high enough      Log On


   

Question 382970: A cat leaps trying to catch a flye. The motion of the cat can be modeled by h(d)=-32d^2+16d. The fly is staying at least 2.5 feet away from the ground. Will the cat get high enough to catch the fly?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A cat leaps trying to catch a fly. The motion of the cat can be modeled by
h(d)=-32d^2+16d. The fly is staying at least 2.5 feet away from the ground. Will the cat get high enough to catch the fly?
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h(d)=-32d^2+16d
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Maximum height occurs when d = -b/2a = -16/(2*-32) = 1/4
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That maximum height is h(1/4) = -32(1/4)^2+16(1/4) = 2 ft.
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I guess the cat is going to go hungry.
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Cheers,
Stan H.