Calculadora de Movimento de Projétil Horizontal

x = v₀·t; y = ½g·t² — projétil lançado horizontalmente.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Tempo de queda t
2,019 s
Alcance horizontal x
30,29 m

Formula

x = v₀·t; y = ½g·t²

About this calculator

The Horizontal Projectile Motion Calculator solves the classic problem of an object launched horizontally from a height, under the sole action of gravity, neglecting air resistance. The motion is decomposed into two independent axes: horizontally (x), speed is constant (v₀); vertically (y), the body falls freely from rest. The calculator uses the formulas x = v₀·t and y = ½·g·t², with g ≈ 9.8 m/s². You input the initial horizontal velocity v₀, the time of flight t, or the drop height h, and obtain the horizontal range and remaining height.

To use, enter two of three parameters: initial velocity (m/s), time (s), or height (m). The calculator determines the third value and shows coordinates (x,y) at each instant. It is useful in physics classes, simple engineering projects, or game simulations. For example, dropping an object from a moving drone, you can predict where it will land. Remember: fall time depends only on height, not horizontal speed. The calculator also displays trajectory graphs for visualization.

Important caveats: the formula assumes initial height is positive and ground is at y=0. If the entered time exceeds the calculated fall time, the projectile has already hit the ground, and results may be physically meaningless. Also, for very high speeds or light objects, air resistance can be significant and the model will be inaccurate. Use consistent units: meters and seconds. The calculator does not consider launch angle (only horizontal) nor horizontal acceleration.

Frequently asked questions

What happens if I enter a time greater than the fall time?

The calculator still shows coordinates, but the height y becomes negative, meaning the projectile has passed the ground. Physically, motion stops when y=0.

Can I use this calculator for angled launches?

No. It is for purely horizontal launches (0° angle). For different angles, use a general projectile motion calculator.

What gravity value is used?

We use g = 9.8 m/s², standard near Earth's surface. If you need another value, contact us.

Is air resistance considered?

No. The model assumes vacuum. For significant air resistance, results will be approximate.

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