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r(t) (V2(1-e),e-sin(t),e-t cos t)

e) What is the magnitude of the acceleration as a function of time? At what time is it greatest and what value does it obtain? a e de f) Given that the acceleration due to gravity is 32 feet per second per second, how many times greater is this acceleration than the acceleration due to gravity (remember r is in miles, 1 mile =5280 ft)? This unit is called a G, and the highest ever survived by a human is 46.2Gs. Is this roller coaster safe for humans?

I have already done the first part of question e, I'm just stuck on the second part.

0leq tleq 20pi are the bounds

Thanks.

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Answer #1

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Acceleration = a(t) = (-(2)1/2(3)1/2e-t)

For 0 < t < 2π, a = 2.44491 miles/s2 = 12909.072 feet/s2

a = 403.40G

where G = 32 feet/s2

this roller coaster is not safe for human.

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