Sweet! You've landed a job as a roller coaster engineer! One day, you and your co-worker come up with a nifty novel roller coaster design that utilizes small rocket boosters on the cart.
Human safety is a pretty important factor in roller coaster designing though so you need to make sure it's within healthy G-forces. The allowable G-forces can vary from region to region. The max acceleration this project permits is 5G.
You run the design through a simulation program, and have narrowed down that the most extreme acceleration occurs in the region from x = 0 m to x = 1.15 m. The function below describes the position of the roller coast on the track during time t:
According to your calculations, will the maximum acceleration here meet the project specifications, or do you guys need to make some design modifications?
- Yup, we're good...now to convince everybody else.
- Nope, back to the drawing board!
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