Hey guise,

I am asked to find the maximum acceleration of a rollercoaster that starts from rest and ends at 60 seconds, the horizontal acceleration is

a(t) = Cos(Pi/30t)

the velocity is v(t) = 30Sin(Pi/30t) + C

and I found out the displacement as s(t) = -900Cos(Pi/30t) + Ct

So given this, how do I find the max acceleration? Do I simply solve a(t) for 0? Which equation do I solve? I realize this is conceptual in some ways.

Granted, how would I solve for the maximum velocity? Total distance traveled? When the coasters are traveling at 150 meters/second?

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