f it starts at the lowest height, that means you want
h(t) = A - B cos(kt)
Now, using the given data. you have
frequency = 20/5, so period = 1/4. k = 4*360 = 1440
h(t) = 50 - (50-5) cos(1440t)
A theme park wants to make a new ride. The idea is that the ride rotates in a circular motion and sprays the riders every time they reach a certain height.
a) Choose values below that meet the conditions and then state them:
• 5, where 𝐿 is the lowest height of the ride (in metres)
• 50, where 𝑀 is the exact mid height of the ride (in metres)
• 20, where 𝑅 is the number of revolutions the ride makes in the
whole 5-minute ride time.
b) Create two equivalent sinusoidal equations, one using sine and the other
using cosine, representing the height, ℎ(𝑡), of the ride where 𝑡 represents
the time in seconds during the 5-minute ride time. Assume the ride starts at
the lowest height. Show all work to demonstrate how you obtained values
for both equations.
1 answer