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 and acceleration of the ball at each labeled point. Enter each direction as a number from '1' to '8' as indicated on the direction key. If any vector is zero, enter the number '0'.