Statement of the Problem: A soccer player is running down the field in straight line parallel to the sideline. Where is he when the angle for making a goal is at a maximum?
InterActivity 1:Soccer Player Goal Simulator 1 - GeoGebraWatch Mathcast
Click on the play button (bottom left) or click & drag the slider point bottom to animate manually.
Find bottom when the angle α of success is a maximum. More Directions
As you click and drag the slider point bottom towards the left, notice that the angle α of success increases and then it starts to decrease. Move the slider slowly and find the value of bottom that makes the angle α of success a maximum.
(With a goal size g=1 and a parallel side1=2.1 from the lower goal post, the maximum angle α is when bottom=2.55.)
To reset: click on in upper right corner.
To move a slider to step-by-step, click on the slider point once without moving. It will glow. Use left/right arrow keys.
Double-click to open the GeoGebra file on your computer with all menus and tools.
To save, select command: File ->SaveAs.
To move a slider to an exact value either:
In the Input Bar (bottom left) type: variable=value (e.g. bottom=2.55) and hit Enter or
To see the Algebra View, select command: View -> Algebra view
To see the Construction Protocol, select command: View -> Construction Protocol
InterActivity 2: Soccer Player Goal Simulator - Scratch (below)
Click on Go! to start the Player. Press Space to Stop Player. Adjust angle. Click on Kick. More Directions
1. To change side distance, first adjust slider Start. Then click on
2. To return ball to player and move down the field - Click on Go!
3. To try kick again, first adjust slider Angle - Click on Kick.