Physics · Interactive learning companion

Visual Projectile Motion Simulation

Use independent horizontal and vertical motions to predict projectile trajectories.

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📝 Description

Visual Projectile Motion Simulation helps students explore the path of a projectile under gravity. Learners change launch settings, observe trajectory, range, time of flight, and height, and connect visual motion with kinematic equations.

📋 Instructions

Use reset and start controls, adjust the projectile settings, and observe the trajectory. Compare range, height, and motion behavior.

🎓 Learning Guide: Visual Projectile Motion Simulation

Learning focus: Use independent horizontal and vertical motions to predict projectile trajectories.

Physics Interactive learning companion

Learning objectives

  • Identify initial speed and launch angle as distinct inputs.
  • Calculate ideal time of flight and range for launches and landings at the same height.

Concepts and principles

  • With no air resistance, x=v₀cosθ·t and y=v₀sinθ·t−½gt² from the launch point.
  • For equal starting and landing heights, R=v₀²sin(2θ)/g and T=2v₀sinθ/g.

Examples and worked solutions

For v₀=20 m/s, θ=30°, g=10 m/s² and equal heights, find the flight time.
Worked solution: T=2×20×sin30°/10=2 seconds.

Try this investigation

  1. Before starting, predict how changing launch angle will affect the trajectory.
  2. If initial speed and angle controls are available, change one while holding the other fixed.
  3. Identify whether the simulation includes air resistance before comparing ranges.

Expected observations and explanations

  • At fixed speed and ideal level ground, angles θ and 90°−θ produce the same range.

Assessment questions and answers

Is horizontal acceleration zero in an ideal no-drag projectile model?
Answer: Yes; vertical acceleration is −g.

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