Calculateur de Hauteur de Projectile Gratuit

Calculez la hauteur maximale d'un projectile à partir de la vitesse initiale et de l'angle.

m/s
degrees
m/s²

Maximum Height

34.40 m

Time to Peak2.65 s

Maximum Height vs Launch Velocity

Formule

Maximum Projectile Height

The peak altitude of a projectile depends on the vertical component of its launch velocity.

Formula

H = v² * sin²(theta) / (2 * g)

The time to reach the peak is t_peak = v * sin(theta) / g.

Exemple Résolu

A ball is launched at 30 m/s at 60 degrees.

  1. 01H = v² * sin²(theta) / (2g)
  2. 02H = 900 * sin²(60°) / (2 * 9.81)
  3. 03H = 900 * 0.75 / 19.62
  4. 04H = 675 / 19.62
  5. 05H = 34.40 m

Questions Fréquentes

At what angle is maximum height achieved?

A 90-degree launch (straight up) gives the greatest height, since all velocity goes into the vertical component.

How long does the full flight take?

Total flight time is twice the time to peak: T = 2 * v * sin(theta) / g, assuming launch and landing heights are the same.

Does launch height affect this formula?

This formula assumes launch from ground level. If launched from a height h0, the maximum altitude above the ground is H + h0.

Apprendre

Understanding Newton's Laws of Motion

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