Physics and mechanics · Mechanics

Ideal projectile motion on level ground

Estimate ideal flight time, horizontal range, and peak height for a projectile that lands at its launch elevation.

Published · R0

Method and scope

T = 2v sinθ/g; R = v² sin(2θ)/g; H = v² sin²θ/(2g).

Use ideal projectile motion on level ground for educational calculation or a clearly scoped arithmetic estimate. Intended for Learners, General educational use.

Inputs
  • Launch speed — m/s, km/h, mph
  • Launch angle above horizontal — rad, °
  • Gravitational acceleration — m/s²
SOURCE AND LIMITS

Assumptions: Launch and landing elevations are equal. Gravity is constant; air resistance, wind, spin, and Earth curvature are ignored.

Limitations: Real trajectories can differ substantially due to drag, wind, lift, and launch uncertainty.

Method version 1.0.0 · Unit registry and result provenance are shown after calculation. This tool is limited to the documented scope.
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