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Physics

Velocity as a Function of Time

Under constant acceleration, final velocity equals initial velocity plus the accumulated velocity change.

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Source & review

Difficulty

Intermediate

Read time

5 min

Prerequisites

Basic algebra, consistent units, and the stated model assumptions

Review statusNeeds review

Source

OpenStax, College Physics 2e, §2.5 (Paul Peter Urone and Roger Hinrichs)

OpenFormulaGraph equation reference; FormuLab adaptation details and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted wording, notation, applicability conditions and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

Under constant acceleration, final velocity equals initial velocity plus the accumulated velocity change. Negative acceleration does not always mean decreasing speed; direction matters.

Variables & Units
Understanding each component
SymbolMeaningUnits
Velocity (final)
Velocity (initial)
Acceleration
Time
Real-World Applications
Where this formula is used in practice

Acceleration

Find velocity after a timed acceleration interval.

Deceleration

Track velocity while a constant braking acceleration acts.

Worked Example
Step-by-step calculation with real numbers

Problem

A body starts from rest and accelerates at +2 m/s² for 3 s. Find its final velocity.

Given

Solution

1
2
3

Final Answer

FormuLab is a study reference. Verify formulas, units, assumptions, and course-specific conventions before relying on them.

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