Kinematics Motion Calculator - SUVAT Solver
Calculate displacement, velocity, acceleration, and time using the equations of motion (SUVAT).
Enter Known Values (Leave Unknowns Blank)
Results
What is Kinematics?
Kinematics is the branch of physics that describes the motion of points, bodies (objects), and systems of bodies without considering the forces that cause them to move.
This calculator uses the SUVAT equations, which apply when acceleration is constant.
To understand forces causing motion, check out our Forces & Newton's Laws Calculator to calculate net force and acceleration.
For motion in two dimensions, explore our Projectile Motion Calculator to analyze trajectories.
To relate motion to energy, use our Work–Energy–Power Calculator to find kinetic and potential energy.
SUVAT Equations
The five key equations are:
- v = u + at
- s = ut + ½at²
- s = ½(u + v)t
- v² = u² + 2as
- s = vt - ½at²
Where: s=displacement, u=initial velocity, v=final velocity, a=acceleration, t=time.
Key Concepts
Velocity vs Speed
Velocity is a vector quantity (has direction), while speed is a scalar (magnitude only).
Acceleration
The rate of change of velocity. Gravity on Earth causes an acceleration of approx. 9.81 m/s².
How to Use This Calculator
Identify Knowns
Enter any 3 known variables (u, v, a, t, s).
Check Units
Ensure all inputs are consistent (e.g., SI units).
Calculate
Click "Calculate" to find the unknown variables.
Benefits of Using This Calculator
- • Instant Results: Quickly solve complex kinematic problems without manual calculations.
- • Accurate Formulas: Uses proven SUVAT equations trusted by physicists and engineers worldwide.
- • Educational Tool: Perfect for students learning mechanics and physics concepts.
- • Flexible Inputs: Enter any 3 known variables to find the remaining unknowns.
Factors Affecting Motion
- • Gravity: A constant force that accelerates objects downwards at approximately 9.81 m/s².
- • Friction/Air Resistance: These forces oppose motion but are ignored in basic SUVAT calculations unless accounted for in net acceleration.
- • Initial Conditions: The starting velocity and position significantly affect the motion trajectory.
Frequently Asked Questions (FAQ)
Q: What are the SUVAT equations?
A: SUVAT equations are a set of five kinematic formulas used to describe motion under constant acceleration. They relate displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t).
Q: Can I use this calculator for variable acceleration?
A: No, this calculator and the SUVAT equations strictly apply only to motion with constant acceleration. For variable acceleration, calculus-based methods are required.
Q: What units should I use?
A: You should use consistent SI units: meters (m) for displacement, meters per second (m/s) for velocity, meters per second squared (m/s²) for acceleration, and seconds (s) for time.
Q: How many variables do I need to solve a kinematics problem?
A: You typically need to know at least three of the five SUVAT variables (s, u, v, a, t) to calculate the remaining two.