Calculadora de Deslocamento

s = v₀·t + ½·a·t² — deslocamento em movimento uniformemente variado.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

s
75,00 m

Formula

s = v₀·t + ½·a·t²

About this calculator

The Displacement Calculator computes the distance traveled by an object in uniformly accelerated motion (UAM), where acceleration is constant. The formula used is s = v₀·t + ½·a·t², where s is displacement, v₀ is initial velocity, t is time, and a is acceleration.

It is useful for physics students, engineers, and professionals solving kinematics problems, such as calculating braking distance of a vehicle or the distance traveled by a free-falling body. Simply input the known values and the tool returns the displacement.

Important precautions: ensure all units are in the International System (meters, seconds, m/s²). Remember that the formula is only valid for constant acceleration. If acceleration varies, other methods are needed. Also, pay attention to the sign of acceleration (positive for speeding up, negative for braking).

Frequently asked questions

Can I use this calculator for motion with variable acceleration?

No, the formula s = v₀·t + ½·a·t² is only valid for constant acceleration. For variable acceleration, calculus is required.

What units should I use?

Use meters for displacement, meters per second for velocity, seconds for time, and meters per second squared for acceleration. The calculator assumes these units.

How do I calculate displacement if initial velocity is zero?

Simply input v₀ = 0. The formula simplifies to s = ½·a·t², as in free fall from rest.

What if acceleration is negative?

Input the negative value for acceleration. The calculator will consider deceleration and may return a smaller or even negative displacement if the object reverses direction.

Is this calculator suitable for uniform linear motion (constant velocity)?

Yes, if acceleration is zero. In that case, the formula reduces to s = v₀·t, which is displacement in uniform motion.

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