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Kinematics Calculator

Solve motion problems using the "Big 5" SUVAT variables. Enter any 3 known values to find the rest.

Variables

Enter 3 values. The other 2 will be calculated automatically.

Results

Enter at least 3 variables to calculate the others.

Common unknowns are usually calculated from (vi, a, t) or (d, t, a).

Kinematic Formulas (SUVAT)

Kinematics is the branch of mechanics describing the motion of points, bodies (objects), and systems of bodies without considering the mass of each or the forces that cause the motion.

The Big 4 Kinematic Equations

These equations assume constant acceleration:

Equation 1 (Missing d)

vf = vi + a·t

Equation 2 (Missing a)

d = ½(vi + vf)·t

Equation 3 (Missing vf)

d = vi·t + ½a·t²

Equation 4 (Missing t)

vf² = vi² + 2a·d

Variables Legend (SUVAT)

  • s / d = Displacement (m) - Distance moved in a specific direction
  • u / vi = Initial Velocity (m/s) - Starting speed
  • v / vf = Final Velocity (m/s) - Ending speed
  • a = Acceleration (m/s²) - Rate of change of velocity
  • t = Time (s) - Duration of the motion

Freefall and Gravity

For objects in freefall (vertical motion), acceleration (a) is often gravity (g). On Earth, g ≈ 9.81 m/s². If throwing an object upwards, use a = -9.81 m/s²(decelerating). If dropping, use a = 9.81 m/s² (accelerating downwards).