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Calkulon

Ako vypočítať Projectile Motion

Čo 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.

Sprievodca krok za krokom

  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°
Výsledok
Range: 35.3m · Max height: 5.1m · Flight time: 2.04s
20²×sin60°/9.81=35.3m

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