Tools HubConstant Acceleration
Calculate velocity and displacement from initial velocity, constant acceleration and time, with unit conversion and worked steps.
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Key Formula & Conditions
Learning modelFor motion along a line with constant acceleration, v = v₀ + at and Δx = v₀t + ½at². Enter initial velocity, acceleration and elapsed time, then convert to consistent units.
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Result
Worked steps
Approximate results are displayed to at most 10 significant digits. Measurement significant figures and uncertainty are not inferred.
Formula and example
For motion along a line with constant acceleration, v = v₀ + at and Δx = v₀t + ½at². Enter initial velocity, acceleration and elapsed time, then convert to consistent units.
v = v₀ + at; Δx = v₀t + ½at²
v₀ = 0 m/s, a = 2 m/s², t = 5 s → v = 10 m/s, Δx = 25 m
- Start from rest0 m/s, 2 m/s², 5 s → v=10 m/s, Δx=25 m
- Slow to a stop20 m/s, −2 m/s², 10 s → v=0 m/s, Δx=100 m
- Convert km/h and minutes36 km/h, 0 m/s², 1 min → v=10 m/s, Δx=600 m
Common mistakes
- Distinguish velocity from speed and displacement from distance. Displacement can differ from distance when the object reverses direction.
- Choose a positive direction first. Enter negative values for velocity or acceleration in the opposite direction.
Check the assumptions
Assumes one-dimensional motion with constant acceleration. Velocity and acceleration are signed. Displacement is the signed change in position, not total distance travelled.
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OpenStax · College Physics 2e — Constant Acceleration ↗Done
Constant Acceleration
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Verification scope and citation information
Use worked examples within their stated inputs, units and assumptions. Tests cover specific cases at a specific time; they do not certify every input, expert review or standards compliance. Check the references and tool-specific verification notes, and enter your own access date when citing.
@misc{tools_hub_constant_acceleration_2026,
author = {{Tools Hub}},
title = {Constant Acceleration},
year = {2026},
url = {https://the-tools-hub.net/en/tools/constant-acceleration/},
note = {Accessed: YYYY-MM-DD}
}How to use
- 1
Enter values and units
Use the example or enter your own conditions.
- 2
Calculate
Check the result and each calculation step.
- 3
Check assumptions
Review applicability and display precision, then copy inputs and results if needed.
Features
- Worked steps and unit conversions
- No account; calculation stays in your browser
- Copy inputs and results together
Use cases
Check your working
Compare formula substitutions and units with your own calculations.
Details
Assumes one-dimensional motion with constant acceleration. Velocity and acceleration are signed. Displacement is the signed change in position, not total distance travelled.
FAQ
Can I use zero acceleration?
Yes. The calculator gives constant-velocity motion: v=v₀ and Δx=v₀t.
Can I model free fall?
Yes, if air resistance is neglected and gravity is treated as constant. Taking downward as positive, an example value is a=9.8 m/s². Local gravitational acceleration varies.
Are results exact?
Results use floating-point approximations, displayed to at most 10 significant digits. Measurement significant figures and uncertainty are not inferred.
Are inputs saved?
Inputs and results are not sent to a server or saved. They disappear when you leave the page.
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