Instructions

The diagram above shows a track. Several points are labeled along the track. Suppose a ball is rolling along the track. The ball is given a quick push so that it is rolling uphill when it passes point A. Subsequently the ball turns around at point B, and is rolling downhill when it passes point C (which is the same location as A). Assume the ball speeds up whenever it is rolling downhill, slows down whenever it is rolling uphill and rolls at constant speed on a level track. In addition, assume that the ball stays on the track unless it rolls off of the track's end. If it rolls off of the end, a dotted line shows the ball's path as it flies thru the air.

 

Use the table underneath the track to indicate the direction of the velocity, acceleration, angular velocity and angular acceleration of the ball at each labeled point. Enter directions in the plane of the track in terms of the numbers '1' thru '8' as indicated on the direction key. Enter the letter 'i' for a vector that is directed into the page and the letter 'o' for a vector directed out of the page. If any vector is zero, enter the number '0'.