Final answer:
Mai travels approximately 4.18 feet per second faster than Kiran on the carousel.
Step-by-step explanation:
To find out how much faster Mai travels than Kiran on the carousel, we need to consider their respective distances from the center of rotation. Let's assume Mai is 10 feet from the center and Kiran is 8 feet from the center.
The formula for calculating the speed of an object in uniform circular motion is: speed = (2 * π * radius) / time, where π (pi) is approximately 3.14.
So, for Mai, her speed would be (2 * 3.14 * 10) / 12 = 20.93 feet per second. For Kiran, his speed would be (2 * 3.14 * 8) / 12 = 16.75 feet per second. Therefore, Mai travels approximately 4.18 feet per second faster than Kiran.