Students will hang rings from the ceiling to demonstrate the trajectory of a projectile. A launcher will send a small ball into the air at a velocity and angle that will allow the ball to pass through all the rings, as shown in the figure. The horizontal position xx and vertical position yy of the ball at different points along the trajectory must be determined so that the rings can be placed at the correct positions.

The students set the launcher for a launch angle of =40=40 and measure the range of the projectile in order to determine its launch speed. The following data are collected.