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.
Results
Enter values and click Calculate to see the result.
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: Initial velocity (m/s)
- v: Final velocity (m/s)
- a: Acceleration (m/s²)
- t: Time (s)
- s: Displacement (m)
Example
A car accelerates from rest (v₀ = 0) at 2 m/s² for 5 seconds. Using v = v₀ + at:
\(v = v_0 + at = 0 + (9.8)(3) = 29.4 \, \text{m/s}\)