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Ferris Wheel Starter (Trig)

Authored by Shalynne Orth

Mathematics

10th - 12th Grade

Used 13+ times

Ferris Wheel Starter (Trig)
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9 questions

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1.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

A person goes for a ride on a Ferris wheel. They enter one of the cars AT THE LOWEST possible point on the wheel from a platform 7 ft off the ground. When they are at the very top of the wheel, they are 92 feet off the ground. Let h represent the height of the car (in feet) and d the distance the car has traveled along the wheel's circumference from its starting location at the bottom of the wheel. We'll use the notation h=f(d), meaning height is a function of distance traveled.


How high above the ground is the CENTER of the ferris wheel?

2.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

A person goes for a ride on a Ferris wheel. They enter one of the cars AT THE LOWEST possible point on the wheel from a platform 7 ft off the ground. When they are at the very top of the wheel, they are 92 feet off the ground. Let h represent the height of the car (in feet) and d the distance the car has traveled along the wheel's circumference from its starting location at the bottom of the wheel. We'll use the notation h=f(d), meaning height is a function of distance traveled.


How far does the car travel in one complete trip around the wheel? (Round to the nearest whole foot!)

3.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

A person goes for a ride on a Ferris wheel. They enter one of the cars AT THE LOWEST possible point on the wheel from a platform 7 ft off the ground. When they are at the very top of the wheel, they are 92 feet off the ground. Let h represent the height of the car (in feet) and d the distance the car has traveled along the wheel's circumference from its starting location at the bottom of the wheel. We'll use the notation h=f(d), meaning height is a function of distance traveled.


What is the amplitude?

4.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

A person goes for a ride on a Ferris wheel. They enter one of the cars AT THE LOWEST possible point on the wheel from a platform 7 ft off the ground. When they are at the very top of the wheel, they are 92 feet off the ground. Let h represent the height of the car (in feet) and d the distance the car has traveled along the wheel's circumference from its starting location at the bottom of the wheel. We'll use the notation h=f(d), meaning height is a function of distance traveled.


What is the midline?

5.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

A person goes for a ride on a Ferris wheel. They enter one of the cars AT THE LOWEST possible point on the wheel from a platform 7 ft off the ground. When they are at the very top of the wheel, they are 92 feet off the ground. Let h represent the height of the car (in feet) and d the distance the car has traveled along the wheel's circumference from its starting location at the bottom of the wheel. We'll use the notation h=f(d), meaning height is a function of distance traveled.


What is the period? (How many feet does the Ferris wheel travel before it gets back to where it started? Round to the nearest whole foot!)

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A person goes for a ride on a Ferris wheel. They enter one of the cars AT THE LOWEST possible point on the wheel from a platform 7 ft off the ground. When they are at the very top of the wheel, they are 92 feet off the ground. Let h represent the height of the car (in feet) and d the distance the car has traveled along the wheel's circumference from its starting location at the bottom of the wheel. We'll use the notation h=f(d), meaning height is a function of distance traveled.


If we want NO PHASE SHIFT, what function should I use?

sine

-sine

-cosine

cosine

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A person goes for a ride on a Ferris wheel. They enter one of the cars AT THE LOWEST possible point on the wheel from a platform 7 ft off the ground. When they are at the very top of the wheel, they are 92 feet off the ground. Let h represent the height of the car (in feet) and d the distance the car has traveled along the wheel's circumference from its starting location at the bottom of the wheel. We'll use the notation h=f(d), meaning height is a function of distance traveled.


What is the correct equation for f(d)?

f(d)=42.5cos(267x)+49.5f\left(d\right)=-42.5\cos\left(267x\right)+49.5

f(d)=49.5cos(2π267x)+42.5f\left(d\right)=-49.5\cos\left(\frac{2\pi}{267}x\right)+42.5

f(d)=42.5cos(2π267x)+49.5f\left(d\right)=-42.5\cos\left(\frac{2\pi}{267}x\right)+49.5

f(d)=85cos(2π267x)+42.5f\left(d\right)=-85\cos\left(\frac{2\pi}{267}x\right)+42.5

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