SUVAT refers to the five key variables of motion: displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t).

How many variables do I need to enter for 1D kinematics?

You must enter exactly three of the five variables to solve for the remaining two.

Can I change the acceleration due to gravity?

Yes, you can adjust the acceleration parameter to simulate gravity on other planets or custom acceleration values.

What happens if I enter physically impossible values?

The solver performs impossibility checks and flags errors like negative squared velocities or non-real time roots instead of returning invalid results.

Does the solver show the formulas used?

Yes, it provides a full step-by-step derivation showing the specific kinematic formulas and substitutions used to reach the final values.

Elysia Tools

Navigation

Science & Education

Physics Kinematics Problem Solver

Solve 1D constant-acceleration kinematics problems and 2D projectile motion, with a full step-by-step derivation. Enter any 3 of the 5 quantities (displacement, initial velocity, final velocity, acceleration, time) and the solver finds the other two, showing each formula, the substitution, and the result. For projectiles, enter launch speed/angle/height to get range, time of flight, and max height.

Details

What this tool helps you do

A kinematics solver for high-school and college physics students and teachers:

Problem mode — choose 1D kinematics (constant acceleration) or 2D projectile motion.
1D: enter 3 of 5 — fill in any three of displacement (Δx), initial velocity (v₀), final velocity (v), acceleration (a), and time (t). The solver finds the other two.
Derivation — every solved quantity shows the formula used, the substitution with your numbers, and the final value, so you can follow (and check) the working.
Projectile — enter launch speed, angle, and launch height (plus optional gravity for non-Earth worlds) to get range, flight time, max height, and velocity components.
Impossibility checks — the solver flags physically impossible inputs (negative v², no real time root, etc.) instead of silently giving nonsense.

The five SUVAT equations drive the 1D solver. No external data — pure algebra.

Execution

Run this tool

Fill in the form, run the tool, and review the result in one place.

Prepared example runs

Click an example to fill the form automatically. File inputs still need an upload.

2 examples

1D: braking car (find distance & time)

A car at 25 m/s brakes at −6 m/s² until it stops. Solve for displacement and time (enter u, v, a).

<div class="pk-wrap"><section><h3>📋 All quantities</h3>…s ≈ 52.083 m, t ≈ 4.167 s…</section><h3>📝 Step-by-step derivation</h3>…</div>

Projectile: 45° launch on flat ground

A ball launched at 20 m/s, 45°, from ground level. Find range, flight time, and max height (g = 9.81).

<div class="pk-wrap"><section><h3>🎯 Results</h3>…Range ≈ 40.775 m, t ≈ 2.883 s, h ≈ 10.194 m…</section>…</div>

Inputs

Options are grouped so long tools stay easier to scan.

9 options

SettingsAdjust formats, ranges, numbers, and modes.9

Problem modeselectOptionalDisplacement (Δx, m)numberOptionalInitial velocity (v₀, m/s)numberOptionalFinal velocity (v, m/s)numberOptionalAcceleration (a, m/s²)numberOptionalTime (t, s)numberOptionalLaunch angle (θ, °)numberOptionalProjectile mode: launch angle above horizontal.Launch height (y₀, m)numberOptionalProjectile mode: initial height above ground.Decimal placesnumberRequired

Result

Ready for a run

Run the tool to preview files, text, structured data, or streamed output here.

Samples

Physics Kinematics Problem Solver

What this tool helps you do

Run this tool

Prepared example runs

Inputs

Result

Examples that match this tool

Continue with connected tools and hubs

Prepared example runs

Inputs

Result

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Overview

When to use

How it works

Use cases

Examples

1. Calculating Braking Distance and Time for a Stopping Car

2. Analyzing a 45-Degree Projectile Launch from Ground Level

FAQ

Web Image Processing Python Samples

Copyright-Free FLAC Audio Samples

Copyright-Free MP3 Audio Samples

Copyright-Free WAV Audio Samples

Mendelian Punnett Square Calculator

Periodic Table Studio

AGEX Secure Share Note

AI Prompt A/B Variant Generator

Audio Encoding and Format Conversion Tools

Image Format Conversion and Animated Export Tools

JSON Interchange and Format Translation Tools

Color Space Conversion Tools for Web and Print