Needs Complete typed solution with 100 % accuracy. John has been hired to design an exciting carnival ride. Tiff, the carnival owner, has decided to create the world's greatestFerris wheel. Tiff isn't into math; she simply has a vision and has told John these constraints on her dream: (i) the wheelshould rotate counterclockwise with an angular speed of a = 13 RPM; (ii) the linear speed of a rider should be 200 mph; (iii)the lowest point on the ride should be c = 4 feet above the level ground. The wheel starts turning when Tiff is at thelocation P, which makes an angle with the horizontal, as pictured. It takes her 1.5 seconds to reach the top of the ride.(Impose coordinates with units in feet.)y(t) =8a RPM(a) Impose a coordinate system with the origin at the center of the wheel. Find the coordinates T(t) = (x(t), y(t))of Tiff at time t seconds after she starts the ride. (Round values to three decimal places as needed.)x(t) = 215.528 cos (1.361t – 0.471)215.528 sin (1.361t – 0.471)| X(b) Tiff becomes a human missile after 6 seconds on the ride. Find Tiff's coordinates the instant she becomes ahuman missile. (Round your answers to three decimal places.)(x(6), y(6)) =Xc feet(c) Find the equation of the tangential line along which Tiff travels the instant she becomes a human missile. (Roundvalues to three decimal places as needed.)y =

(a) Tiff's coordinates at time seconds after she starts the ride are given by:(b) To find Tiff's…

(b) Tiff becomes a human missile after 6 seconds on the ride. Find Tiff's coordinates the instant she becomes a human missile. (Round your answers to three decimal places.) (x(6), y(6)) = ) (c) Find the equation of the tangential line along which Tiff travels the instant she becomes a human missile. (Round values to three decimal places as needed.) y = X

(b) Tiff becomes a human missile after 6 seconds on the ride. Find Tiff's coordinates the instant she becomes a human missile. (Round your answers to three decimal places.) (x(6), y(6)) = ) (c) Find the equation of the tangential line along which Tiff travels the instant she becomes a human missile. (Round values to three decimal places as needed.) y = X

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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