Question 185583: a fairgrounds most popular attraction is a roller-coaster ride known as the terror run. one of the stretches of track is called the missile path and is in the form of a parabolic curve,starting at point A on the curve and ending at B. B is 180m horizontally from A and the highest point of the curve is 100m above A and B
a safety engineer examined the structure and observed that points A and B were likely to be damaged due to the steepness of the missile path near these points. the owner is puzzled. he can see no way to make the missile path less steep near A and B and to keep the height of the ride the same.
(a)how can this be done?
(b)is it possable to comply with the engineers instructions and also raise the height of the missile path?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! (a)how can this be done?
It can't be. If A and B are not going to move and the height (vertex) is
not going to move, the parabola is fixed because three points remain fixed.
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(b)is it possable to comply with the engineers instructions and also raise the height of the missile path?
Raising the height will increase the steepness which will not please
the engineers. Lovering the height is the only way to please them, if
A and B cannot be moved.
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Cheers,
Stan H.
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