08.13 Modeling Circular Motion Questions 1-10 of 10 | Page 1 of 1 Question 1 (5 points) Kiran is riding a carousel. Here is the view of his carousel from above. 15 feet K This carousel makes one complete revolution, in a counterclockwise direction, every 40 seconds. Find an equation that represents Kiran's horizontal position h, in feet, relative to the center of the carousel t seconds after the carousel starts moving. BIU S S. GQuestion 2 (5 points) A seat on a Ferris wheel travels 250n feet in one full revolution. How many feet is the carriage from the center of the Ferris wheel? O a 125 Ob 250 O c 125 Od 250 Question 3 (5 points) The vertical position, in feet, of point P on a windmill is represented by y = 5sin(2nt/3 + 20, where t is the number of seconds after the windmill started turning at a constant speed. Select all the true statements. O a The windmill blades are 5 feet long. Ob The windmill blades make 5 revolutions per second. O c The midline for the graph of the equation is 20. O d The windmill makes one revolution every 3 seconds. D e The windmill makes 3 revolutions per second.Question 4 (5 points) Jada is riding on a Ferris wheel. Her height, in feet, is modeled by the function h(m) = 100 sin (-n/2 + 2nm/10) + 110, where m is the number of minutes since she got on the ride. How many minutes does it take the Ferris wheel to make one full revolution? Explain how you know. BIU S S, n GQuestion 5 (5 points) Here is the initial position of a bike wheel before it starts to move. The vertical position, in inches, of P is given byy = 10 * sin(n/2 + 6n8) + 10, where 8 is the number of seconds since the wheel began to move. Select all the true statements. P Q The wheel makes 3 revolutions per second. O b The wheel makes one revolution every 3 seconds. O c After 1/4 of a second, the point P will be in the position marked Q. Od After 3/4 of a second, the point P will be in the position marked Q. De The radius of the wheel is 10 inches.Question 6 (5 points) Diego rides a different carousel from the one Kiran is riding. Diego begins his ride at position D. An equation describing the horizontal coordinate, d(t), of his location in feet relative to the center of the carousel as a unction of time is d(t) = 15 cos(nt/15 - n) where t is the number of seconds since the carousel started to move. What is the radius of the carousel? BIU S Question 7 (5 points) Jada is riding on a Ferris wheel. Her height, in feet, is modeled by the function h(m) = 100 sin (-n/2 + 2nm/10) + 110, where m is the number of minutes since she got on the ride. What is the radius of thhe Ferris wheel? Explain how you know.Question 8 (5 points) A carousel has a radius of 20 feet. The carousel makes 8 complete revolutions. What is the relationship between the angle of rotation and the distance traveled on this carousel? Explain your reasoning. BIU n Question 9 (5 points) A carousel has a radius of 20 feet. The carousel makes 8 complete revolutions. How many feet does a person on the carousel travel during these & revolutions?Question 10 (5 points] A carousel has a radius of 20 feet. The carousel makes 8 complete revolutions. What angle does the carousel travel through? BIU n