Centripetal Motion on a Semi-Rollercoaster

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The discussion focuses on analyzing the centripetal motion of a roller coaster depicted in the provided diagram. The roller coaster has a radius of 36.9 meters and reaches a speed of 160 km/h while ascending, followed by a free fall from a height of 115 meters lasting about three seconds. To calculate the centripetal acceleration during the ascent, the formula a_centripetal = v^2/r is applicable. For the descent, both acceleration and velocity need to be determined, with the trajectory resembling an exponential decay function. Understanding the motion involves applying physics principles to the specific parameters of the roller coaster's design.
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I am doing an analysis on a roller coaster that is represented on the diagram attached.

However, I am having trouble analysing the curve. The radius is 36.9m and it is 160km/hr going up and then it free falls back down from 115m for about three seconds.
When I am going up do I just use a_centripetal = v^2/r to find the acceleration?
When I am going down, I have to find the acceleration as well as the velocity, but how do I know where to start?
 
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u know the figure look like a function f(x)=exp(-x).
the above function mean that "x" is linear and than it decay exponentially as u can see in ur figure.
 
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