Now that we have our angular velocity, we can write our parametric equations. Remember that x = r cos(w. t) +x and y=rsin(w t) +y can be used to model our ferris wheel, where r is the radius, w is the angular speed, t is time, (x,y) is the center of the circle. Our ferris wheel has a 30 foot radius and sits 10 feet off the ground. Assume that there is no change in horizontal position. What is the radius, r? Enter as a numeric value (no units). From the previous slide, what is the angular speed, w? Enter as a numeric value (no units). What is the center of the circle for the Ferris Wheel? (Hint: Remember that the ferris wheel is 10 feet of the ground. That would be the distance from the ground to the bottom of the wheel. What would be the distance from the center of the wheel to the ground?). Enter as an order pair (x,y).

You are watching your friend ride a Ferris wheel whose radius is 40 feet and center at (0,43). When you start watching your friend at t=0, they are at the highest point of the Ferris wheel. You notice the wheel is spinning clockwise at a rate of 120 seconds per revolution. Create a parametric equation that represents your friend's position at t seconds. DO NOT USE A CALCUATOR.

Determine the rectangular equation of the given parametric equations. Show your work for full credit. x = -1+4 sint, y = 5 + 6 cost

Given the parametric equations: x =t, y=(t + 1) a) Find the slope at t = 2 b) Find the time t when the particle reaches the point (1, 0). Then, find the equation of tangent line at that particular time.