Find car driving at constant speed experiences acceleration


The image for this problem can be found through this link : https://imgur.com/0qkeHZH Please show all work/formulas so that I may understand this problem for the future. Thank you very much! :)The portion of a race track between points A (corresponding to x=0) and B is part of a parabolic curve described by the equation = k(x)^2, where k is a constant. Let g denote the acceleration due to gravity. Determine such that a car driving at constant speed v0= 158 mph experiences at A an acceleration with magnitude equal to 1.5g.

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Mechanical Engineering: Find car driving at constant speed experiences acceleration
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