Monday

January 26, 2015

January 26, 2015

Posted by **Lisa** on Sunday, April 8, 2012 at 7:54pm.

a) Assuming that the center of the wheel is the origin of an x-y coordinate plane, write functions to find the position (x,y) of a rider that starts at the bottom of the wheel.

b) Where is the rider 2 minutes after the start of the ride?

c) When does the rider first reach the top of the wheel?

d) How often does the rider reach the top of the wheel?

e) The bottom of the ferris wheel is 1 meter from the ground. Graph the function that represents the height of the rider from the ground at each moment t. (Use the function for the y-coordinate of the rider that you found in part 'a' and adjust it as necessary)

- Trig -
**Steve**, Monday, April 9, 2012 at 11:18amperiod = 10 seconds

a)

y = -7cos(2πx/10) = -7cos(πx/5)

b)

y(2) = -7cos(2π/5) = -2.16

c)

half-period = 5 seconds, x=5

d)

rider reaches top once every period - every 10 seconds

e)

Just add the wheel radius+1 to the function to get

h(x) = y(x) + 8 = 8 - 7cos(πx/5)

**Answer this Question**

**Related Questions**

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 ...

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

trig question - A Ferris wheel has a deameter of 50m. The platform at the bottom...

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

Trigonometric Functions - A person is riding a ferris wheel that turns at a ...

Math (Trig) - a ferris wheel has a radius of 10m and is one meter above the ...

math - A ferris wheel is 35 meters in diameter,and can be boarded at ground ...

trig - 1. A Ferris wheel with a radius of 7m makes one complete revolution every...

Math - The rim of the London Eye (a 135m diameter ferris wheel) moves 26 cm/sec...