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Suppose you are asked to design the first ascent and drop for a new roller coast

ID: 2848963 • Letter: S

Question

Suppose you are asked to design the first ascent and drop for a new roller coaster By studying photographs of your favonte ctatun, you decide to make ihe slope of the ascent 0.8 and the (lope of Ihc diop -1 6, You decide to connect these two straight stretches y = L1(x) and y = L2(x) with part of a parabola y = f(x) = ax^2 + bx + c. where x and f(x) are measured in feel. For the track to be smooth there can't be abrupt changes in direction, so you want the linear segments L1 and L2 to be tangent to the parabola at the transition points P and Q. To simplify the equations you decide to place the origin at p.....

Explanation / Answer

Suppose you are asked to design the first ascent and drop for a new roller coast