Challenge Problem Coaster Motion A wooden roller snider at Six Flags 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 1.8 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 ( ω χ − ϕ ) + B that models the motion of the coaster train dining this run starting at the top of a hill.
Challenge Problem Coaster Motion A wooden roller snider at Six Flags 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 1.8 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 ( ω χ − ϕ ) + B that models the motion of the coaster train dining this run starting at the top of a hill.
Challenge Problem Coaster Motion A wooden roller snider at Six Flags 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
1.8
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
(
ω
χ
−
ϕ
)
+
B
that models the motion of the coaster train dining this run starting at the top of a hill.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.