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Aim
To simulate a missile launched toward a target using projectile motion equations and compute the required launch angle, time to impact, and trajectory profile while visualizing the flight path and target strike in a 2D animation environment.
Theory
Missile trajectory in this simulator is modeled using 2D projectile motion under constant gravitational acceleration. The missile is assumed to be launched from ground level with an initial velocity and angle.
Horizontal motion:
x = v cos(θ) · t
Vertical motion:
y = v sin(θ) · t − ½gt²
For a known target location and height, the simulator estimates the launch angle needed to reach the target. If the selected velocity is too low, the target becomes unreachable under this simplified ballistic model.
Horizontal motion:
x = v cos(θ) · t
Vertical motion:
y = v sin(θ) · t − ½gt²
For a known target location and height, the simulator estimates the launch angle needed to reach the target. If the selected velocity is too low, the target becomes unreachable under this simplified ballistic model.
Formula Used
Horizontal Distance: x = v cos(θ) · t
Vertical Height: y = v sin(θ) · t − ½gt²
Projectile Equation: y = x tan(θ) − (g x²) / (2v² cos²(θ))
Gravity: g = 9.81 m/s²
Time to Target: t = x / (v cos(θ))
Maximum Height: H = (v² sin²(θ)) / (2g)
Simulation
This simulator computes the ballistic launch angle needed for a missile to hit a target at a given distance and height, then animates the missile in 2D.
How to Use:
1. Enter missile mass, velocity, target distance, and target height.
2. Click Calculate & Launch.
3. Observe the computed launch angle and time to impact.
4. Watch the 2D animated missile trajectory and impact event.
How to Use:
1. Enter missile mass, velocity, target distance, and target height.
2. Click Calculate & Launch.
3. Observe the computed launch angle and time to impact.
4. Watch the 2D animated missile trajectory and impact event.
Trajectory Legend
Launcher Vehicle
Missile Body
Missile Nose / Target
Trajectory Path
Impact Explosion
Simulation Notes
Assumptions:
• No air drag
• No wind effect
• Constant gravity
• Ballistic 2D projectile model
Interpretation:
Higher velocity generally reduces time to hit and can reach longer or higher targets.
• No air drag
• No wind effect
• Constant gravity
• Ballistic 2D projectile model
Interpretation:
Higher velocity generally reduces time to hit and can reach longer or higher targets.
Observation
Launch Angle
0°
Time to Hit
0 min
Maximum Height
0 km
Horizontal Range
0 km
Impact Status
Waiting
Kinetic Energy
0 MJ
| Parameter | Computed Result | Interpretation |
|---|---|---|
| Launch Angle | — | Required elevation angle to hit target |
| Time to Hit | — | Estimated flight duration |
| Maximum Height | — | Peak altitude reached during flight |
| Impact Feasibility | — | Whether target is reachable |
Outcome Insight: A valid strike occurs only when the selected missile velocity is sufficient to reach the target distance and height. If the missile is too slow, the ballistic solution becomes invalid and no physical launch angle exists under this simplified model.
Learning Outcome
After completing this simulation, the learner will be able to:
- Understand 2D projectile motion applied to missile flight.
- Estimate the launch angle needed to reach a target.
- Analyze the effect of velocity on range, height, and impact time.
- Visualize missile trajectory and strike point in a ballistic model.
- Interpret feasibility of engagement under simplified physical constraints.