Question

anyone understand Parametric Equations in Pre-Calculus?

Answer 1

yes

Answer 2

can i type in a question for you?

Answer 3

ok..hold on this is a bit long.

Answer 4

can i email this to you? It is very long?

Answer 5

A Ferris wheel with an 18-foot radius and center 22 feet above the ground is turning at one revolution per minute. Suppose that on a coordinate system, the ground surface is represented by the x-axis and the center of the wheel is on the y-axis.
a) Assume you board the Ferris wheel at its lowest point at t=0 minutes. If the Ferris wheel goes around 4 times, at what values of t will you reach your maximum height?
b) Write a pair of parametric equations that models the coordinates (x,y) of a seat on the rotating Ferris wheel. The equations should be in terms of x,y, and t where x and y are in feet and t is time in minutes.
c) According to the modeling you wrote in part b, is the Ferris wheel rotating clockwise or counter-clockwise? Explain your answer.

Answer 6

I can't believe no one helped you with this

Answer 7

a) Assume you board the Ferris wheel at its lowest point at t=0 minutes. If the Ferris wheel goes around 4 times, at what values of t will you reach your maximum height?

"an 18-foot radius and center 22 feet above the ground"

that means it is 4 feet off the ground

" one revolution per minute"

well , you are in bottom, all the way up is half way around

so it will take 30 seconds

Answer 8

and every minutes after that

Answer 9

b)



frequency in minute = 1 revolution/minute
2pi/minute
only thing changing is angle as you are going around

x(t)= r Cos(2pi t)-r

y= r Sin(theta)+ 4
(I explained why there is 4 in above post )

let test our equation at t=0

x(0)= r-r=0

y(0)= 4


t=.25

x(.25)= r Cos(pi/2)-r
=0-r=-r
y(.25)= r Sin(Pi/2)+4
r+4
so at a quater cycle , we are



which mean we are going counter-clockwise