Question

Hey I really, really need help with this problem:
Travis is riding the Ferris wheel at the amusement park. His height can be modeled by the equation H(t) = 22 cos (pi/13) t + 28, where H represents the height of the person above the ground in feet at t seconds.

Part 1: How far above the ground is Travis before the ride begins?

Part 2: How long does the Ferris wheel take to make one complete revolution?

Part 3: Assuming Travis begins the ride at the top, how far from the ground is the edge of the Ferris wheel, when Travis' height above the ground reaches a minimum?

Answer 1

@ganeshie8 @kc_kennylau @ranga @shamil98 @AriPotta

@ganeshie8 @TuringTest @thomaster

Answer 2

@Tazmann
@ganeshie8 @TuringTest @thomaster

Answer 3

Part 1, what is the time before the right begins? And what does the formula give as an answer if you fill in that number for t?

Answer 4

Not sure, how do i find this?

Answer 5

I assume t=0, since must formula start from t=0 (doesn't really make much sense to start from anywhere else).

Answer 6

H(0) = 22 cos (pi/13) 28 ?

Answer 7

H(0) = 22*cos(pi/13)*0 + 28

Answer 8

okay so now what?

Answer 9

By the, way, are you sure that the formula you gave at the first post isn't more like H(t) = 22 cos (pi/13t) + 28 or something? because otherwise you have a straight line, that doesn't make sense.

Answer 10

\[\large 22 \cos (\frac{ \pi }{ 13 }t)+28\] by any chance?

Answer 11

no thats the formula
given. the first one

Answer 12

That doesn't make sense, the t should be part of the cosine function or it would give a straight line, and then the questions don't really make sense.

Answer 13

i"ll attach a pic of the equation

Answer 14

there

Answer 15

... alright then.

Answer 16

In that case, the answer to part one is 28

Answer 17

The answer to part 2 is forever, since according to that equation, the ferris wheel does not turn at all.

Answer 18

And part 3 is not even possible to answer, since the top would be the edge of the universe and would even not be anywhere near earth.

Answer 19

whats you reasoning for the first answer?
how did you get 28?

Answer 20

The 0 in the equation cancels out everything except the +28. Anything multiplied by 0 is zero.

Answer 21

That is assuming the ride starts at t=0

Answer 22

Okay thanks a lot. Can you help me with one more? i think its kinda easy but i"m not sure.

Answer 23

I'l close this an open a new question

Answer 24

I'm pretty sure the question was written incorrectly since it came from FLVS and they are known to have a lot of mistakes in their math curriculum...it's pretty pathetic