Answer:
[tex]period=\frac{2}{3}[/tex]
Step-by-step explanation:
we are given equation for height as
[tex]h=82.5sin(3\pi (t+0.5))+97.5[/tex]
where
The height above ground, h, of a passenger on the ride is a periodic function of time, t
We can use period formula
[tex]y=Acos(B(t+C))+D[/tex]
[tex]period=\frac{2\pi}{B}[/tex]
Firstly, we can compare and find B
[tex]B=3\pi[/tex]
now, we can find time period
[tex]period=\frac{2\pi}{3\pi}[/tex]
[tex]period=\frac{2}{3}[/tex]
Interpretation:
we know that time period is the time after which value starts repeating itself
Since, period =2/3
It means that after 2/3 min , the height of passenger will be same
