+118609 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?
+118609 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?)
+80 I believe y = sin x and y = -1 intersect at (-π2/-1) in relation to the graph (Apologies for the late response!)
+118609 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)
