8. (1.5 points) You are designing part of a roller coaster and the customer has
ID: 2889073 • Letter: 8
Question
8. (1.5 points) You are designing part of a roller coaster and the customer has a few requirements: (0) A rise and fall will consist of a straight line ascent and straight line descent connected by a parabola. (ii) The ascent connects to the parabola 100 feet above the ground and has a slope of 0.8. (ii) The descent has a slope of -1.6 and onnects to the parabola 100 feet horizontally from the ascent Certainly you don't want a sharp corner in your tracks at the points where the linear parts meet the parabola. This puts a condition on the tangent lines of the parabola what's the condition?Explanation / Answer
For requirement of not having the sharp corner on the track puts the condition that slope of the parabola at the end points must be equal to slope of linear path.
In other words, the linear path must be tangent to the parabola at end points for not haviong sharp corner in the track.
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