At Canada's Wonderland, a thrill seeker can ride the Xtreme Skyflyer. This is essentially a large pendulum of which the rider is the bob. The height of the rider is given for various times:
Time(s) 0 1 2 3 4 5 6 7 8 9
Height(m) 55 53 46 36 25 14 7 5 8 15
a. Find the amplitude, period, vertical translation, and phase shift for this function.
b. Determine the equation of the function in the form:
h(t) = asin [b(t – c)] + d.
c. What would the rest position of the pendulum be?
2 answers
Can someone explain using degrees instead of pi please
Since your data do not show any symmetries or even the maximum or minimum, all we can do is pick four points and solve for a,b,c,d.
h(t) = a sin [b(t – c)] + d
Since the maximum height occurs at (0,55), I'd like to start with a cosine curve.
You don't actually say that the minimum height is h=5, but if we assume that, then we have
amplitude = (55-5)/2 = 25
center line at (55+5)/2 = 30
So, we can start with
h(t) = 25 cos(b(t-c)) + 30
See what you can do about the period and phase shift, yeah?
Come back if you get stuck, or my assumptions are wrong.
h(t) = a sin [b(t – c)] + d
Since the maximum height occurs at (0,55), I'd like to start with a cosine curve.
You don't actually say that the minimum height is h=5, but if we assume that, then we have
amplitude = (55-5)/2 = 25
center line at (55+5)/2 = 30
So, we can start with
h(t) = 25 cos(b(t-c)) + 30
See what you can do about the period and phase shift, yeah?
Come back if you get stuck, or my assumptions are wrong.
7 answers