1. Experimental safety and assumptions
vx0 = speed × cos(angle), vy0 = speed × sin(angle); x(t)=vx0t; y(t)=height+vy0t−gt²/2. The computed impact time is the nonnegative solution of y=0, and range is vx0 times that time. All plotted values are generated by these equations, not physical measurements.
2. Predict and explore
3. See the modeled trajectory
Axes: horizontal position x (m) and vertical height y (m). The path is an ideal model, not a video. The sample table supplies accessible numerical alternatives to the plotted line.
| Time (s) | x (m) | y (m) | vx (m/s) | vy (m/s) |
|---|
4. Science notebook
Record three comparable trials. Hold all but one control constant and compare time of flight, range and apex.
| # | Speed (m/s) | Angle (°) | Height (m) | g (m/s²) | Time (s) | Range (m) |
|---|
5. Seven-round range challenge
Solve seven randomly chosen virtual launch puzzles without repeats. The answers use the model equations and give instant feedback. No physical launching is involved and results are practice-only.
Start a seven-round puzzle run.
Score: 0 / 7