Unformatted text preview: time.
In the first half of
the graph, we can see the person will
go up from 3 m to 33 m in 30 seconds.
In the second half, the person will go
back down to 3 m. 25
20
15
10
5 b. avalue: We know the diameter of the
wheel is 30 m, so the radius (which is
the same as amplitude) will be 15 m. 2π 2π π
=
=
P 60 30 time in either the cosine
equation. Simplify and
calculate with your TI83 in
radian mode
π
h(t ) = −15cos t + 18
30
π
h(52) = −15cos 52 + 18
30
h(52) = 7.96 m pattern. dvalue: The centre of the wheel is 18
m above the ground, so that will be the
midline
The cosine pattern is upside down,
so you need to put a negative in front. π 30 30 40 50 60 Time (s) cvalue: There is none in the cosine h(t) = 15cos 20 c. Method 1: Plug 52 s in for bvalue: The period is 60 s, so: b= 10 d. Method 2: Put your
calculator in radian mode
and graph either the
cosine function.
2nd Trace Value x = 52 This will calculate the
height directly from the
graph....
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 Winter '10
 KISCABEAN
 Trigonometry, Periodic function, Ferris wheels, Calculus Math 40S

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