Kinematic Equations Reference

v = v₀ + at

Final velocity equation

Δx = v₀t + ½at²

Displacement equation

v² = v₀² + 2aΔx

Velocity-displacement equation

Δx = ½(v + v₀)t

Average velocity equation

Enter Known Values

Enter at least 3 known values. Leave unknown values empty.

v₀ - Initial Velocity (m/s)

v - Final Velocity (m/s)

a - Acceleration (m/s²)

t - Time (s)

Δx - Displacement (m)

🔄 Clear

About the Kinematic Equations Calculator

This free kinematic equations calculator helps physics students and educators solve motion problems with detailed step-by-step solutions. Simply enter any three known values and the calculator will determine the remaining unknowns.

What are Kinematic Equations?

Kinematic equations describe the motion of objects under constant acceleration. They relate five key variables: initial velocity (v₀), final velocity (v), acceleration (a), time (t), and displacement (Δx).

How to Use This Calculator

Identify which values you know from your physics problem
Enter at least 3 known values in the appropriate fields
Leave unknown values blank
Click "Calculate" to see the step-by-step solution

Common Applications

Projectile motion problems
Free fall calculations
Vehicle acceleration/deceleration
Uniform motion analysis
Physics homework and exam preparation