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Kinematics Calculator

Calculate linear and accelerated motion

Motion Equations

s = ut + ½at², v = u + at, v² = u² + 2as

Kinematics - The Science of Motion

Kinematics is a branch of physics that describes the motion of objects without considering the forces that cause motion. It deals with fundamental concepts: displacement, velocity, acceleration, and time. Kinematic equations relate these quantities to each other.

Basic Motion Equations

Displacement Equation

s = ut + ½at²

Where: s = Displacement, u = Initial velocity, t = Time, a = Acceleration

Final Velocity Equation

v = u + at

Final velocity equals initial velocity plus acceleration times time

Time-Independent Equation

v² = u² + 2as

This equation is useful when time is not known

Practical Examples

Example: Accelerating car

A car starts from rest (u = 0) and accelerates at 3 m/s² for 10 seconds. Displacement = 0 × 10 + ½ × 3 × 10² = 150 meters. Final velocity = 0 + 3 × 10 = 30 m/s.