Projectile Motion Calculator
The Projectile Motion Calculator solves the classic two-dimensional kinematics problem. Given an initial velocity and launch angle (and optional initial height), it computes horizontal range, maximum height, time of flight, and final velocity components. Ideal for physics students, engineers, and anyone studying ballistic trajectories under constant gravity.
rocket_launch Launch Parameters
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Velocity Components
Trajectory
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- •45° gives maximum range on flat ground
- •Horizontal velocity is constant throughout
- •Max height reached at T/2 of flight time
- •Moon gravity (1.62): range is ~6× Earth
rocket_launch Key Formulas
The Formula
Horizontal and vertical motion are independent. Horizontal: x = v₀cos(θ)·t. Vertical: y = v₀sin(θ)·t − ½g·t²
R = v₀²sin(2θ)/g | H = v₀²sin²(θ)/(2g) | T = 2v₀sin(θ)/g
lightbulb Variables Explained
tips_and_updates Pro Tips
45° launch angle maximizes range on flat ground
Maximum height is reached at T/2 (halfway through flight)
Horizontal velocity is constant — only vertical is affected by gravity
On the Moon (g=1.62 m/s²) range is ~6× greater than on Earth
Adding initial height increases both range and time of flight
Frequently Asked Questions
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