Saturday

January 31, 2015

January 31, 2015

Posted by **ROBIN** on Thursday, July 18, 2013 at 11:05am.

maximum of 55 m above the ground and a minimum of 5 m above the ground.

The height, h, in metres, above the ground can be modeled using a sine function,

where t represents time, in seconds. Assume ride starts when you get on the ride.

a) Draw a sketch showing one rotation of the Ferris wheel.

b) Determine an equation that models the height of a rider.

c) Determine the height of a rider after 70 seconds.

- MATH -
**Steve**, Thursday, July 18, 2013 at 11:27amsin(kx) has period 2π/k, so since we have period 90, k = π/45

y = a sin(π/45 t+b)) + c

sin(x) has a minimum at t = 3π/2, and our ferris wheel has a minimum at t=0, so

y = a sin(π/45 t + 3π/2)) + c

The axle is at (55+5)/2 = 30, so

y = a sin(π/45 t + 3π/2) + 30

The amplitude is (55-5)/2 = 25, so

y = 25 sin(π/45 t + 3π/2)) + 30

or

y = 25 sin(π/45 (t + 135/2)) + 30

**Answer this Question**

**Related Questions**

Math - A ferris wheel is 30 meters in diameter and boarded in the six o'clock ...

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

calculus - Eric is standing on the ground, a distance of 70 ft from the bottom ...

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

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

Pre-Cal - A Ferris wheel is 40 meters in diameter and boarded from a platform ...

Math - Here is the question : A Ferris wheel is 40 meters in diameter and ...

precalculus - A ferris wheel is 20 meters in diameter and boarded from a ...

differential calculus - a ferris wheel 15m in diameter makes 1 revolution every ...

Honor Physics - Fairgoers ride a Ferris wheel with a radius of 5.00 . The wheel ...