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# Periodicity

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7 Apr 25, 2021

#1
+2

For part a  substitute  t=6 into the formula and find the value of h

what does    sin[3pi(6.5)] =

the sine curve goes between -1 and +1  so what is the relevance of this result?

Apr 26, 2021
#2
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I think I understand, thank you for explaining! :)

Apr 26, 2021
#3
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that is nice, but I did ask you a question.

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For part a  substitute  t=6 into the formula and find the value of h.  what did you get?

what does    sin[3pi(6.5)] =

the sine curve goes between -1 and +1  so what is the relevance of this result?

Melody  Apr 26, 2021
#4
+1

Following private discussion:

sin[3pi(6.5)] =-1   Where will that point be on the graph?

Compare it to

y=sinx   where y=-1

Where do the graphs of y=sinx   and y=-1   intersect ?       (in relation to the sine graph?) Apr 26, 2021
#5
+1

I believe y = sin x and y = -1 intersect at (-π2/-1) in relation to the graph (Apologies for the late response!)

Corduroy  Apr 26, 2021
#6
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What I wanted you to say is that y=sinx=-1 will be the lowest point on the sin graph.

So the last passenger to get on the ride will be at the bottom point of the ride when the power goes off.

There will be no wait for this person.  They can hop straight off.

As you told me privately, this person will be at 15 feet when the power goes off.

But as with most rides, people have to go up some steps to get onto a platform and then the ride is a little about that.

That is why 15 feet up is the bottom position.

Here is the graph giving the height of this person at any given point in time.  (while the ride is running)

https://www.desmos.com/calculator/j5fxic61j5

Melody  Apr 26, 2021
#7
+1

My bad! Thank you for correcting me and providing reference graphs, it's very appreciated. :)

Corduroy  Apr 27, 2021