Physics Kinematics Solver

Solve for any unknown in the 4 kinematic equations. Enter any 3 variables to begin.

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How to Use Our Kinematics Solver

1. Input Known Variables

Enter any three of the five kinematic variables (u, v, a, t, s) into their respective fields. Leave the two fields you want to solve for blank.

2. Click Calculate

Our physics solver will instantly use the appropriate kinematic equations to find the two unknown variables based on your inputs.

3. Review Step-by-Step Solution

The calculator provides a detailed, step-by-step breakdown showing which formulas were used and how the answers were derived, perfect for learning.

Understanding the Kinematic Equations

These equations describe the motion of an object with constant acceleration. Our solver can use any combination of them to find your unknowns.

v = u + at

This equation relates final velocity (v) to initial velocity (u), acceleration (a), and time (t). It is used when displacement (s) is not known or required.

s = ut + ½at²

This formula calculates displacement (s) based on initial velocity (u), time (t), and acceleration (a). It is used when final velocity (v) is not known.

v² = u² + 2as

This equation connects final velocity (v) with initial velocity (u), acceleration (a), and displacement (s). It is ideal when time (t) is not part of the problem.

s = ½(u + v)t

This equation finds displacement (s) using the average velocity ( (u+v)/2 ) and time (t). It is used when acceleration (a) is not known.

Frequently Asked Questions (FAQ)

What is kinematics?

Kinematics is a branch of classical mechanics that describes the motion of objects without considering the forces that cause them to move. This solver focuses on motion in one dimension with constant acceleration.

What are the 5 kinematic variables?

The five variables are: s (displacement), u (initial velocity), v (final velocity), a (acceleration), and t (time). They are often referred to by the acronym SUVAT. You can convert between units like meters and feet using our Unit Converter.

When can you use the kinematic equations?

The kinematic equations are only valid for motion with **constant acceleration**. If acceleration is changing, more advanced calculus-based methods are required. Our calculator assumes constant acceleration for all problems.