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 106 feet above the ground. If it takes a car 1.9 seconds to go from the top of a hill to the bottom (6 feet off the ground), find a sinusoidal function of the form y=Asin(ωt−ϕ)+B that models the motion of the coaster train during this run starting at the top of a hill.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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
feet above the ground. If it takes a car
seconds to go from the top of a hill to the bottom
feet off the ground), find a sinusoidal function of the form
that models the motion of the coaster train during this run starting at the top of a hill.
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