Advanced Functions

Question

the ferris wheel at an amusement park measures 16m in diameter. the wheel does 3 rotations every minute. the bottom of the wheel is 1m above the ground

 

is this the write equation for sine

 

h=8 sin [pi/10(x-5)]+9 ??

if not what is it?

 

Also how high is emily after 25 secs??

Answer 1

Ok Lily, relax, you got this.

See my comment in your first question which replied to your follow up question :)

 

I used "t" for time instead of "x" so that you could have a height as a function of time h(t) formula.

 

You wrote h=8 sin [pi/10(x-5)]+9 and this is correct according to PEMDAS rules

 

8 is the amplitude, yes! :)

you chose sine, that works :)

pi/10 is your angular frequency (in my solutions, I called it 0.1π) yes!

that (x-5) is in the numerator the way you wrote it according to PEMDAS. As long as you meant it to be in the numerator, you are correct :) The -5 phase shift is fine as no initial conditions were set.

 

Then you offset by 9, that's correct as well :)

 

So yes, you have it perfectly correct.

 

The second part though, how high is she after 25 seconds? That depends on where she is at t=0.

Does anything in the problem tell you an initial condition? Like perhaps, at t=0, Emily is at the lowest point or something like that?