Question 139858: A ramp-to-ground motorcycle jump can be modeled by the quadratic function
h = -0.0022d2 + 0.46d + 19,
where d is the distance in feet along the ground from where the motorcycle left the ramp and h is the height of the motorcycle in feet. How long was the jump?
Round your answer to two decimal places. The units will be typed in the second box.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A ramp-to-ground motorcycle jump can be modeled by the quadratic function
h = -0.0022d2 + 0.46d + 19,
where d is the distance in feet along the ground from where the motorcycle left the ramp and h is the height of the motorcycle in feet. How long was the jump?
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Height will be zero when the motocycle hits the ground.
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-0.0022d^2 + 0.46d + 19 = 0
d = [-0.46 +- Sqrt(0.46^2 - 4*-0.0022*19)]/(2*-0.0022)
d = [-0.46 +- sqrt(0.21206...)/(-0.0044)
Positive Solution:
d = [-0.46-0.46]/-0.0044
d = 209.09 ft
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Cheers,
Stan H.[
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