Parametric Equations Video Quiz 1. The train in the video traveled counterclockwise around a circle of radius r according to the parametric equations x = r cos(t), y = r sin(t). How does the motion of the train differ if the equations are: (a) x = r sin(t), y = r cos(t) ? (b) x = r cos(2t), y = r sin(2t)? 2. (a) Write down the speed formula: (b) Calculate the speed of an object moving according to the parametric equations x= (t - 2)3 /2, y= (6 -t)3/2 for 2st56. 3. Match the following systems of equations with the curves they generate by drawing lines connecting the equations to the named curves: x = {t - sin(t)}r. y = (1 - cos(t)}r Spiral of Archimedes x = r cos(t), y= r sin(t) Cycloid 4. Draw a cycloid curve below: Scanned with CamScanner