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Jak vypočítat Projectile Motion

Co je Projectile Motion?

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.

Průvodce krok za krokem

  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°

Worked Examples

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

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