Mathematics, 06.11.2019 22:31 desi0322

For the ride to be comfortable, the magnitude of acceleration must not exceed 32 m/s2. what is the fastest constant speed that a coaster can travel along this section of the track subject to this condition? hint: the curvature is κ(t)=2(t2+2)2. this was found using the non-constant-speed parametrization r(t) above, but curvature at a point is independent of parametrization, and in particular, we can use κ(t) to find the maximum value the curvature takes along the track.

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For the ride to be comfortable, the magnitude of acceleration must not exceed 32 m/s2. what is the f...