Student activity · Grades 9–12 · about 25 minutes

Projectile Motion Worksheet

Goal: Investigate how launch angle, launch speed and gravity change a projectile’s range, peak height and flight time, and explain the results with the projectile formulas.

Open the simulation at thephysicslab.org/experiments/projectile-motion/ · Connects to NGSS HS-PS2-1

What to do

  1. Press Reset, then the “Maximum range” preset (20 m/s at 45°). Record the range, peak height and flight time in the first row.
  2. Change only the Launch angle: set it to 30°, then to 60°, and record both rows.
  3. Press Reset, then “Low arc” (25°), and record the row.
  4. Press Reset and set Launch speed to 40 m/s. Record the row. Then press Reset and “Moon gravity”, and record the last row.

Record your results

SettingRangePeak heightFlight time
20 m/s at 45° (Maximum range)
20 m/s at 30°
20 m/s at 60°
20 m/s at 25° (Low arc)
40 m/s at 45°
20 m/s at 45°, Moon gravity

Questions

  1. Compare the 30° and 60° launches. What is the same and what is different? Use the range formula R = v₀² sin(2θ) / g to explain.

  2. Which angle gave the longest range at 20 m/s? Why is 45° the best angle in this model?

  3. Doubling the launch speed from 20 m/s to 40 m/s multiplied the range by what factor? Explain using the formula.

  4. On the Moon (g = 1.62 m/s²), how much farther did the same launch go? Explain the factor.

  5. At 20 m/s and 45°, the horizontal speed stays 14.14 m/s for the whole flight. Why doesn’t gravity change it?

  6. Challenge: which other launch angle gives the same range as 25° at 20 m/s? Predict, then check it in the lab.

Free from The Physics Lab · thephysicslab.org · HS-PS2-1: Analyze data to show that Newton’s second law relates net force, mass and acceleration.