Interactive Boat River Crossing Simulation
| Boat (m/s) | Angle (°) | River (m/s) | Resultant (m/s) | Time (s) | X Pos (m) | Y Pos (m) | Displacement (m) | Distance (m) |
|---|
Control Panel
0° is straight across. ±90° points parallel to shore.
Resultant Speed:
0.0 m/s
Resultant Angle:
0.0°
Time Taken:
0.0 s
X Position:
0.0 m
Y Position:
0.0 m
Displacement:
0.0 m
Total Distance:
0.0 m
Vector Legend
Boat relative to Water (Vbw)
Water relative to Shore (Vws)
Boat relative to Shore (Resultant Vbs)
Inquiry Challenges:
- The Straight Crossing: If your boat speed is 5.0 m/s and the river speed is 3.0 m/s, what exact angle must you set to land perfectly straight across the river?
- The Time Paradox: Set your boat angle to 0° and speed to 4.0 m/s. Record data for three different river speeds. Does the speed of the river affect how long it takes to cross? Why or why not?
- Battling the Current: Try pointing the boat upstream (negative angles). Can you find a combination of boat speed, angle, and river speed where the boat doesn't move relative to the shore at all?
NGSS 3-Dimensional Alignment (Foundational for HS-PS2-1 & HS-PS2-2):
- SEP (Science & Engineering Practices): Using Mathematics and Computational Thinking — Use mathematical representations to describe and support claims about the velocity and displacement of an object.
- DCI (Disciplinary Core Ideas): PS2.A: Forces and Motion — Understanding vectors and frames of reference is a prerequisite for analyzing how forces change macroscopic motion and how momentum is conserved.
- CCC (Crosscutting Concepts): Systems and System Models — Defining the boundaries of a system (the boat, the water, the shore) to analyze how independent components interact to produce a resultant effect.