2. There is a double Ferris Wheel. The large wheel is has a radius of 30 meters. and the two smaller outside wheels have radii of 10 meters each. If the large wheel rotates 0.5 revolutions per minute clockwise. and the smaller wheels rotate at 2 revolutions per minute counter clockwise. determine the location of a rider at any time t in minutes if the rider starts such that on the big wheel she is at 6 o'clock. and on the small wheel she is at 12 o'clock. 3. A lifeguard is walking from right to left along a beach at 4 m/s. while swinging their whistle around their nger in a counter clockwise rotation. The lifeguard's hand is staying at a relatively constant 1 meter above the ground. The string length is 30 cm. and it is rotating 3 times per second counter ciockwise. What is the set of parametric equations that will determine the location of the whistle at any moment in time. assuming that the whistle starts at the 3 o'clock position? 4. A skier is attempting to learn how to ski on moguls. He knows that he needs to ex and extend his knees in a rhythmical way. So he does. and at his shortest. his head is 1 meter off of the ground. and at his tallest his head is 1.8 meters off of the ground. He is bouncing like this at a rate of 4 bounces per 10 seconds. and is shortest at t=0. Meanwhile his skis are on the mogul eld. and following the set of parametric equations: xlt) = 2t 4. A skier is attempting to learn how to ski on moguls. He knows that he needs to ex and extend his knees in a rhythmical way. So he does, and at his shortest. his head is 1 meter off of the ground. and at his tallest his head is 1.8 meters off of the ground. He is bouncing like this at a rate of 4 bounces per 10 seconds. and is shortest at t=0. Meanwhile his skis are on the mogul eld, and following the set of parametric equations: x(t) = 2t y(t) = -t + 25in(t) . Determine the set of parametric equations that will determine the location of his head. 5. A snowboarder hits a rainbow rail. Her board follows the parametric equations: a:(t)=t y(t)= 25(t4)23 during the time interval 0 s t s 8 where t is measured in seconds. and distances are measured in feet. When the rider is standing at her tallest, her head is 5.5 feet above her board. When she is her shortest. her head is only 3 feet above the board. While sliding this rail. she gets as tall as possible at the take off and landing. and is shortest at the top of the rail. Determine the parametric equations that determine the height of her head at any given time 1: Your write-up should include written-up mathematics (with explanations where necessary), and a Desmos Graph for each