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Как да изчислим Projectile Motion

Какво е 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.

Ръководство стъпка по стъпка

  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

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

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