SUVAT Calculator

Last Updated: October 20, 2025

Calculate SUVAT equations for kinematics problems instantly with our advanced 2025 physics calculator to analyze motion, displacement, velocity, acceleration, and time relationships for educational and professional applications.

Calculator

Enter the known values for displacement, velocity, acceleration, and time below to solve SUVAT equations instantly.

Use the input fields to specify known values and the calculator will solve for unknown variables automatically.

Results

Enter values to see results

Table of Contents

  1. 1. What is SUVAT Calculator?
  2. 2. How to Use SUVAT Equations
  3. 3. Examples of Calculation
  4. 4. Practical Applications of SUVAT Equations
  5. 5. Frequently Asked Questions
  6. 6. Related Calculators

What is SUVAT Calculator?

Understanding Kinematic Equations for Motion

The SUVAT Calculator is a specialized tool that solves kinematics problems using the five SUVAT equations. These equations describe motion with constant acceleration and are fundamental to understanding physics.

For more information about SUVAT equations and kinematics, visit Wikipedia: Equations of Motion and Wikipedia: Kinematics.

In physics, SUVAT stands for the five key variables in kinematics: S (displacement), U (initial velocity), V (final velocity), A (acceleration), and T (time). These equations are derived from the basic principles of motion and are essential for solving problems involving constant acceleration. This principle is fundamental in understanding motion and is essential for acceleration analysis and projectile motion calculations.

SUVAT equations are the foundation of kinematics, providing the mathematical framework for analyzing motion with constant acceleration.

Whether you're studying physics, solving motion problems, analyzing projectile motion, or understanding the mathematical relationships in kinematics, this calculator provides accurate, instant results with flexible unit conversions to meet your specific needs. For related calculations, explore our velocity calculator, displacement calculator, magnitude acceleration calculator, projectile motion calculator, and free fall calculator.

How to Use SUVAT Equations

Step-by-Step Problem Solving Guide

The Five SUVAT Equations

1. v = u + at

2. s = ut + ½at²

3. v² = u² + 2as

4. s = ½(u + v)t

5. s = vt - ½at²

To solve SUVAT problems, you need to identify which variables are known and which need to be found. Then select the appropriate equation that contains the unknown variable and substitute the known values.

The key to success with SUVAT equations is choosing the right equation for each problem. Each equation relates different combinations of the five variables, so you need to pick the one that includes your unknown.

Problem-Solving Strategy

Step-by-step approach:

  1. List the known variables (s, u, v, a, t)
  2. Identify the unknown variable
  3. Choose the equation containing the unknown
  4. Substitute known values
  5. Solve for the unknown
  6. Check units and reasonableness

The SUVAT equations are powerful tools for solving kinematics problems. They work for any motion with constant acceleration, making them applicable to a wide range of physics problems from simple motion to complex projectile motion.

Practical Applications of SUVAT Equations

Real-World Applications Across Industries

Field/Application Typical Acceleration Range Importance
Automotive Engineering 0-10 m/s² Critical for vehicle design and safety analysis
Aerospace Engineering 0-100 m/s² Essential for spacecraft and aircraft motion analysis
Sports Physics 0-50 m/s² Important for performance analysis and training
Projectile Motion 9.81 m/s² Critical for ballistics and trajectory calculations
Free Fall Analysis 9.81 m/s² Essential for understanding gravity effects
Educational Physics 0-20 m/s² Fundamental for teaching motion principles
Robotics 0-30 m/s² Critical for motion planning and control
Mechanical Systems 0-50 m/s² Important for system design and optimization

Examples of SUVAT Calculations

Real-World Applications and Use Cases

Example 1: Finding Final Velocity

Given:

  • • Initial velocity (u): 10 m/s
  • • Acceleration (a): 2 m/s²
  • • Time (t): 5 s

Step-by-step calculation:

Step 1: Choose appropriate equation

We need to find final velocity (v), so we use: v = u + at

Step 2: Substitute known values

v = 10 + (2)(5)

Step 3: Calculate

v = 10 + 10 = 20 m/s

Final Answer

20 m/s

Final velocity

Example 2: Finding Displacement

Given:

  • • Initial velocity (u): 0 m/s
  • • Acceleration (a): 4 m/s²
  • • Time (t): 3 s

Step-by-step calculation:

Step 1: Choose appropriate equation

We need to find displacement (s), so we use: s = ut + ½at²

Step 2: Substitute known values

s = (0)(3) + ½(4)(3)²

Step 3: Calculate

s = 0 + ½(4)(9) = 0 + 18 = 18 m

Final Answer

18 m

Displacement

Example 3: Finding Acceleration

Given:

  • • Initial velocity (u): 5 m/s
  • • Final velocity (v): 25 m/s
  • • Displacement (s): 100 m

Step-by-step calculation:

Step 1: Choose appropriate equation

We need to find acceleration (a), so we use: v² = u² + 2as

Step 2: Rearrange equation

a = (v² - u²)/(2s)

Step 3: Substitute known values

a = (25² - 5²)/(2 × 100) = (625 - 25)/200 = 600/200

Step 4: Calculate

a = 3 m/s²

Final Answer

3 m/s²

Acceleration

💡 Did you know? SUVAT equations are derived from calculus and form the foundation of classical mechanics!

Frequently Asked Questions (FAQ)

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