piazza discussion link The slightly creepy husband, searching blindly all over t

Question

piazza discussion link The slightly creepy husband, searching blindly all over the country for his wife, visits an amusement park in California. Also a physicist, he is stunned by the roller coaster ride Superman: The Escape due to its beautiful mathematical quiescence. Forgetting about his run-away wife, he immediately notices that the coaster travels along the track whose arclength is given by s(t) = ct3 with c = 1.0 ft/s3 and t in seconds. He also notices that at t = 2.0 s the magnitude of the coaster's acceleration is 13.3 ft/s2. Find the track's radius of curvature at this instant, i.e. rho ( 2.0) = ft

Explanation / Answer

The formula for the radius of curvature at any point x for the curve y = f(x) is given by: Radius of curvature=[1+(dydx)2]3/2||d2ydx2|| simply put values to get answer.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.