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Kinematics Calculator

Motion & Mechanics Calculations

m/s
m/s
m/s²
s

How to Use

Kinematic Equations

Use these equations to solve motion problems involving constant acceleration.

The Four Equations

  • v = u + at: Relates velocity, acceleration, and time
  • s = ut + ½at²: Relates displacement, initial velocity, acceleration, and time
  • v² = u² + 2as: Relates velocities, acceleration, and displacement (no time)
  • s = (u+v)t/2: Uses average velocity to find displacement

Variables

  • u: Initial velocity (m/s)
  • v: Final velocity (m/s)
  • a: Acceleration (m/s²)
  • s: Displacement (m)
  • t: Time (s)

How to Solve

  • Choose the right equation: Select based on which variables you know and need
  • Enter 3 known values: Leave the unknown value blank
  • Calculate: Get the missing value with detailed steps

Sign Conventions

  • Positive: Forward/upward direction
  • Negative: Backward/downward direction
  • Gravity: Usually -9.8 m/s² (downward)

Applications

  • Falling objects and projectile motion
  • Vehicle acceleration and braking
  • Sports and athletics analysis
  • Engineering motion design

Try Sample Calculations

Click "Load Sample" to see typical problems for each equation type.

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