Kinematics Calculator
Calculate kinematics instantly in your browser — the published formula, worked locally with no data sent anywhere.
Loading calculator…
What this tool does
Calculate kinematics instantly in your browser — the published formula, worked locally with no data sent anywhere. Constant acceleration in a straight line (one dimension, signed quantities). For varying acceleration the SUVAT equations do not apply directly — split the motion into constant-acceleration phases.
How to use the Kinematics Calculator
- Enter or select initial velocity u (m/s).
- Enter or select acceleration a (m/s²).
- Enter or select time t (s).
- Read the calculated result; change any measurement to compare alternatives.
Formula
The SUVAT equations for constant acceleration: v = u + a·t; s = u·t + ½·a·t²; s = ½(u + v)·t; v² = u² + 2·a·s. Enter u, a and t — the other quantities follow.
- u
- Initial velocity u (m/s)
- a
- Acceleration a (m/s²)
- t
- Time t (s)
Constant acceleration in a straight line (one dimension, signed quantities). For varying acceleration the SUVAT equations do not apply directly — split the motion into constant-acceleration phases.
Worked example
For kinematics calculator, the following measurements illustrate the exact method: Initial velocity u (m/s): 0; Acceleration a (m/s²): 2; Time t (s): 5.
Inputs
- Initial velocity u (m/s)0
- Acceleration a (m/s²)2
- Time t (s)5
Result
- Final velocity v (m/s)10
- Displacement s (m)25
- Average velocity (m/s)5
- Check: v² − u² (should equal 2as)100
- 2as100
Results explained
- Final velocity v (m/s)
- Final velocity v (m/s) from the formula above. Constant acceleration in a straight line (one dimension, signed quantities). For varying acceleration the SUVAT equations do not apply directly — split the motion into constant-acceleration phases.
- Displacement s (m)
- Displacement s (m) from the formula above. Constant acceleration in a straight line (one dimension, signed quantities). For varying acceleration the SUVAT equations do not apply directly — split the motion into constant-acceleration phases.
- Average velocity (m/s)
- Average velocity (m/s) from the formula above. Constant acceleration in a straight line (one dimension, signed quantities). For varying acceleration the SUVAT equations do not apply directly — split the motion into constant-acceleration phases.
- Check: v² − u² (should equal 2as)
- Check: v² − u² (should equal 2as) from the formula above. Constant acceleration in a straight line (one dimension, signed quantities). For varying acceleration the SUVAT equations do not apply directly — split the motion into constant-acceleration phases.
- 2as
- 2as from the formula above. Constant acceleration in a straight line (one dimension, signed quantities). For varying acceleration the SUVAT equations do not apply directly — split the motion into constant-acceleration phases.
Frequently asked questions
The SUVAT equations for constant acceleration: v = u + a·t; s = u·t + ½·a·t²; s = ½(u + v)·t; v² = u² + 2·a·s. Enter u, a and t — the other quantities follow.
Constant acceleration in a straight line (one dimension, signed quantities). For varying acceleration the SUVAT equations do not apply directly — split the motion into constant-acceleration phases.
Every field is labelled with its unit — enter values in exactly the labelled unit and read the result in the labelled output unit. Fields with a unit symbol also support the site-wide imperial/metric switch, which converts before the formula runs.
It uses double-precision arithmetic and the published constants and formulas named on this page. The last displayed digit may be rounded, and real conditions can differ from the idealized model described in the assumptions.
Yes. Every calculation runs entirely in your browser; nothing you enter is uploaded, stored or shared.