SUVAT Calculator
Calculate motion parameters using SUVAT equations

Input Values

Results
Calculated values based on your inputs

Displacement

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Initial Velocity

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Final Velocity

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Acceleration

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Time

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Understanding SUVAT Equations
Learn how to use SUVAT equations for motion calculations

Key Equations

v = u + at
Eq. 1

Final velocity equals initial velocity plus acceleration multiplied by time

s = ut + ½at²
Eq. 2

Displacement equals initial velocity times time plus half acceleration times time squared

s = ((u + v)/2)t
Eq. 3

Displacement equals average velocity (mean of initial and final) times time

v² = u² + 2as
Eq. 4

Final velocity squared equals initial velocity squared plus twice acceleration times displacement

s = vt - ½at²
Eq. 5

Displacement equals final velocity times time minus half acceleration times time squared

Variables & Assumptions

Variables

s
Displacement
Distance traveled in a specific direction
u
Initial Velocity
Starting speed in a direction
v
Final Velocity
Ending speed in a direction
a
Acceleration
Rate of velocity change
t
Time
Duration of motion

Assumptions

  • Constant acceleration - Acceleration does not change during the motion
  • Linear motion - All movement is along a straight line
  • No external forces - Other than those causing the acceleration
  • Rigid body - No deformation or internal forces

Common Applications

Physics

  • Free fall calculations
  • Projectile motion analysis
  • Particle dynamics
  • Collision investigations

Engineering

  • Vehicle dynamics
  • Machine design
  • Robotics control
  • Structural analysis

Real-World

  • Sports science
  • Traffic analysis
  • Safety systems
  • Ballistics