Kinematics Calculator

Solve motion problems using kinematic equations for velocity, acceleration, displacement, and time

Select an equation and provide at least 3 known values. Leave the unknown value empty to solve for it.

結果

値を入力して計算をクリックして結果を表示してください。

Theory & Formula

Kinematic Equations

Kinematics describes the motion of objects without considering the forces that cause the motion. The kinematic equations relate displacement, velocity, acceleration, and time for objects moving with constant acceleration.

The Three Kinematic Equations

\(v = v_0 + at\)\(s = v_0 t + \frac{1}{2}at^2\)\(v^2 = v_0^2 + 2as\)\(s = \frac{1}{2}(v_0 + v)t\)\(s = vt - \frac{1}{2}at^2\)

Variables

  • v₀: calculators.physics.kinematics.theory.v0Definition
  • v: calculators.physics.kinematics.theory.vDefinition
  • a: calculators.physics.kinematics.theory.aDefinition
  • t: calculators.physics.kinematics.theory.tDefinition
  • s: calculators.physics.kinematics.theory.sDefinition

Example

A car accelerates from rest (v₀ = 0) at 2 m/s² for 5 seconds. Using v = v₀ + at:

\(v = v_0 + at = 0 + (9.8)(3) = 29.4 \, \text{m/s}\)
Kinematics Calculator | Motion Equations & Velocity | MathCalcLab | MathCalcLab