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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.

Guia passo a passo

  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°

Exemplos resolvidos

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

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