What this tool answers
This page takes initial and final velocities and a duration. Under constant acceleration, their arithmetic mean is the average velocity for that interval.
Formula
s = (u + v) × t / 2.
Worked example: Endpoint velocities over eight seconds
With u = 3 m/s, v = 11 m/s and t = 8 s, displacement is (3 + 11) / 2 × 8 = 56 m. This example assumes constant acceleration between the endpoints.
Load these worked-example inputs
Limitations
Endpoint averaging requires the stated constant-acceleration model. Arbitrary varying acceleration cannot generally be reconstructed from only two velocity readings.
Frequently asked questions
When can the two endpoint velocities be averaged this way?
For the constant-acceleration model used by this tool.
Does this endpoint method require acceleration as an input?
No. It uses the initial velocity, final velocity and duration.
Why are two velocity readings insufficient for arbitrary motion?
Different velocity histories can share the same endpoints while producing different displacements.