Main Window:

The main window contains all the controls needed to use the application. To begin playing, select a velocity function from the Functions box.  The Easy functions contain points above the time axis and to the right of the vertical axis, thus the area under the function and thus the position never decrease as time increases.  The Medium functions contain some points below the time axis.  Area below the this axis is negative.  The Hard functions contain points in all quadrants of the coordinate system.  Note that to the left of the vertical axis, area above the time axis is negative and area below the time axis is positive.

Once a function has been selected, click the Start button.  Now begin placing points in the bottom view that correspond to the position of an object traveling with the velocity described by the top curve.  Remember that the position is determined by the area under the velocity curve.  By moving the slider, the area under the velocity curve will be highlighted.  In addition, a vertical line will be displayed in the position view to aid in the placement of points.  The time and velocity are displayed in the text fields in the upper right of the window.  By typing text directly into the time text field, the time (and thus the slider) may be set exactly.  If a point is placed in the wrong position, click the Undo button to remove it.  By recursively clicking the Undo button, all points may be removed.  

A maximum of ten points may be placed in the bottom view.  Once satisfied with the placement of the points, click the Stop button.  This will display the actual position curve in the same view with the estimated points.  Additionally, a score will calculated based upon the accuracy of the points.  A score of 100 is perfect (and practically unachievable.)  A score in the nineties is a good score.  
 
The game need not be played to use this application.  Simply click the Start button then click the Stop button to reveal the position curve immediately.  Then use the slider to carefully study the relationship between velocity and position.  The position will be displayed along with time and velocity in the text fields in the upper right of the window.