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Physics

Linear Velocity

Measures the rate of change of an object's position along a straight path.

v = \frac{Δ x}{Δ t}

Study tools

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Source & review

Difficulty

Beginner

Read time

4 min

Prerequisites

Basic Algebra

Review statusNeeds review

Source

FormuLab initial formula library

Initial content draft pending verification against authoritative course or textbook sources.

Definition

Understanding the core concept

Linear velocity tells us how quickly an object is moving in a straight line and in what direction. It's simply the distance an object covers divided by the time it takes to cover that distance. Think of it as your car's speedometer reading, but with an awareness of the direction you're heading.

Variables & Units

Understanding each component

Symbol	Meaning	Units
$v$	Linear velocity	$m/s$
$Δ x$	Displacement (change in position)	$m$
$Δ t$	Time interval	$s$

Real-World Applications

Where this formula is used in practice

Vehicle Speedometers

Used in cars, trains, and planes to display the current speed (magnitude of linear velocity).

Athletic Performance Analysis

Coaches analyze an athlete's linear velocity during sprints to evaluate speed and identify areas for improvement.

Conveyor Belt Systems

Engineers calculate the linear velocity of conveyor belts to ensure goods are transported at the correct rate.

Projectile Motion

Used to determine the speed of objects like thrown balls or rockets at various points in their trajectory.

Worked Example

Step-by-step calculation with real numbers

Problem

A car travels a distance of 300 meters in a straight line over a period of 20 seconds. What is its average linear velocity?

Given

Δ x = 300 m

Δ t = 20 s

Solution

v = \frac{Δ x}{Δ t}

v = \frac{300 m}{20 s}

v = 15 m/s

Final Answer

v = 15 m/s

Formula Guide

Info

DifficultyBeginner

Read Time4 min

PrerequisitesBasic Algebra

Tools

Source & review

StatusNeeds review

Last reviewedPending

Source

FormuLab initial formula library

Initial content draft pending verification against authoritative course or textbook sources.

Assumptions

• Use SI units unless the formula or course context states otherwise.
• Check notation, sign conventions, and applicability against your course material.
• Confirm variables and assumptions before using the formula in graded or professional work.