A wooden roller coaster contains a run in the shape of a sinusoidal curve, with a series of hills. The crest of each hill is 110 feet above the ground. If it takes a car 1.8 seconds to go from the top of a hill to the bottom (4 feet off the ground), find a sinusoidal function of the form y= A sin (ot-$) + B that models the motion of the coaster train during this run starting at the top of a hill. y=sin(t++ (Simplify your answers. Round to the nearest thousandth as needed.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
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A wooden roller coaster contains a run in the shape of a sinusoidal curve, with a series of hills. The crest of each hill is 110 feet above the ground. If it takes a car 1.8 seconds to go from the top of a hill to the
bottom (4 feet off the ground), find a sinusoidal function of the form y = A sin (wt - $) + B that models the motion of the coaster train during this run starting at the top of a hill.
y=sin(t+
(Simplify your answers. Round to the nearest thousandth as needed.)
+
Transcribed Image Text:A wooden roller coaster contains a run in the shape of a sinusoidal curve, with a series of hills. The crest of each hill is 110 feet above the ground. If it takes a car 1.8 seconds to go from the top of a hill to the bottom (4 feet off the ground), find a sinusoidal function of the form y = A sin (wt - $) + B that models the motion of the coaster train during this run starting at the top of a hill. y=sin(t+ (Simplify your answers. Round to the nearest thousandth as needed.) +
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