Monday

December 22, 2014

December 22, 2014

Posted by **Anon** on Thursday, January 20, 2011 at 3:16pm.

You are taking a ride on a Ferris wheel that is 100 feet in diameter and has a bottom point that is 10 feet above the ground. Suppose that the wheel rotates four times every minute and from your friend's viewpoint on the ground, it is rotating in a clockwise direction.

1. Sketch your height y above the ground as it depends on the horizontal distance x from a vertical axis through center of the Ferris wheel.

2. Sketch your height y above the ground as a function of time t.

3. Find a formula for your height y as a function of t.

4. Sketch your horizontal distance x as a function of time t.

5. Find a formula for the horizontal distance x as a function of time t.

6. Find all intervals of time for which you are moving forward. Indicate these intervals on the graph in number 2.

7. Suppose your friends moves around the opposite side of the wheel so now it appears to him to be moving counter clockwise. From this new vantage point, how do your answers to number 6 change?

8. Find a formula relating your height y above the ground and horizontal distance x from the vertical axis through the center of the wheel.

I started by making a graph of the time (3.75, 7.5,11.25, and 15) for each rotation, the horiz distance from the y axis (don't know how to find) and the height (50,100,50,0). Any tips or solutions would be very much appreciated. Thanks

**Answer this Question**

**Related Questions**

Trig - As you ride a ferris wheel, your distance from the ground varies ...

Physics - While riding a Ferris wheel, the rider determines that the Ferris ...

Trig - Ferris Wheel - A ferris wheel is 250 ft in diameter and revolves every 40...

trig - A ferris wheel with a diameter of 100 feet rotates at a constant rate of ...

Honors Pre Calculus - Tony visits the local fair and sees one of the rides, the ...

Math-trig - A Ferris wheel with a diameter of 100 feet rotates at a constant ...

College Algebra - A ferris wheel has a diameter of 320 feet and the bottom of ...

math - a ferris wheel has the diameter of 240 feet and the bottom of the ferris ...

Physics - Fairgoers ride a Ferris wheel with a radius of 5.00 {\rm m} . The ...

CHHS - A a ferris wheel has a diameter of 100ft. The passengers ride in cars ...