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Quadratic work problems Task 1

Quadratic work problems Task 1-example-1

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Answer:

Explanation:

A. h = -2(1)² + 7(1) + 4 = 9 ft

B. use the quadratic formula to find the 2 solutions to t when

y = f(t) = -2t² + 7t + 4 = 0 a=-2, b=7, c=4

the 2 solutions for t are: -1/2, 4

halfway between t=-1/2 and t=4 is: (-1/2 + 4) /2 = 1.75 (vertex of the parabola)

so, at t = 1.75 s, the toy is at its max. height:

h = -2(1.75)² + 7(1.75) + 4 = 10.125 ft

C. Toy is in the air for 4 sec

The answer is 4 s because f(4) = 0, meaning the toy hits the ground after 4 sec

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