Question

Sandra is riding the Ferris wheel, and her height can be modeled by the equation H(t) = 25 cos pi/14 t + 31, where H represents the height of the person above the ground in feet at t seconds. Part 1: How far above the ground is Sandra before the ride begins? Part 2: How long does the Ferris wheel take to make one complete revolution? Part 3: Assuming Sandra begins the ride at the top, how far from the ground is the edge of the Ferris wheel when Sandra's height above the ground reaches a minimum?

Answer 1

Is it \[H(t)=25\cos(\frac{ \pi }{ 14 }+31) or H(t)=25\cos(\frac{ \pi }{ 14 })+31\]

Answer 2

\[H(t)=25 \cos \frac{ \pi }{ 14 } t+31\]

Answer 3

@SolomonZelman

Answer 4

Part A is just the y-intercept.

Answer 5

whats the y intercept then? i dont know what the number is

Answer 6

set t=0, and solve for H(t)

Answer 7

so its \[H(0) 25\cos \frac{ \pi }{ 14 } (0)+31?\]

Answer 8

what about part 2? @SolomonZelman

Answer 9

The circumference of a wheel is a revolution.

Answer 10

so whats the equation to figure out the circumference and to find out how long it takes to make a rotation

Answer 11

https://www.desmos.com/calculator/hd9hwovwja
And the equation is \(\LARGE\color{blue}{ H(t)=25\cos(\frac{π}{14}t)+31 }\)

Looking at the graph it is 28 units on the x-axis, to get the full curve looking like

• •
• •
• •
• • from 0 to 28
• •
• •
• •
• •

Answer 12

I am not sure on this one

Answer 13

And for part 3, it is asking for the distance from the maximum to the minimum point ( I think )

Answer 14

Functions f(x) and g(x) are shown below:
f(x) g(x)
f(x) = 2 tan(3x + π) g(x) = 3 sin(4x - π) - 2

Using complete sentences, explain how to find the y-intercept for each function and determine which function has the largest y-intercept.

Answer 15

set x equal zero and solve for the range (in each function)

Answer 16

okay? then what?

Answer 17

Solve for the intercepts

Answer 18

f=.10977
g=-1.83558?

Answer 19

f(x) = 2 tan(3x + π) g(x) = 3 sin(4x - π) - 2
f(0) = 2 tan(3(0) + π) g(0) = 3 sin(4(0) - π) - 2
f(0) = 2 tan( π) g(0) = 3 sin(- π) - 2
f(0) = 2 (0) g(0) = 3 (0) - 2
f(0) = 0 g(0) = - 2

Answer 20

Which function has a larger intercept ?

Answer 21

f(0)?

Answer 22

YEah