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Question 32 (1 point) Sinusoidal 3 m 3 m In a handling test, a car is driven through the slalom course shown. It is assumed that the car path is sinusoidal and that the maximum lateral acceleration is 0.7g. If the testers wish to design a slalom through which the maximum speed is 80 km/h, what cone spacing L should be used? Hint: You can take a coordinate y with respect to the horizontal slalom line, which will give you the equation of the sinusoid to be y = 3Sin( 2+ x) where X is the distance along the horizontal direction and T = 2L. The equation of radius of 13/2 1+ curvature is p= To find the maxima and minima of this radius of т O to find IP has extrema for 2 = curvature you can setdp/dx 3T So, you can use these results and find the acceleration in the normal direction to solve the problem, by equating this normal acceleration magnitude with 0.7g. [-(+)* dr =