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Projectile motion describes the parabolic path of an object launched into the air and subject only to gravity (ignoring air resistance). Key equations relate launch speed, angle, maximum height, horizontal range, and time of flight.

ステップバイステップガイド

  1. 1Horizontal: x = v₀ × cos(θ) × t (constant velocity)
  2. 2Vertical: y = v₀ × sin(θ) × t − ½ × g × t²
  3. 3Max height: H = (v₀ × sin(θ))² / (2g)
  4. 4Range (flat ground): R = v₀² × sin(2θ) / g · max at θ=45°

解いた例

入力
Launch 20 m/s at 30°
結果
Range: 35.3m · Max height: 5.1m · Flight time: 2.04s
20²×sin60°/9.81=35.3m

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