Uniform acceleration calculator
Find final velocity and displacement for constant acceleration in a straight line.
Enter your values and press Calculate. Your inputs stay in the address, so you can switch language or share the link.
Formula
v = u + a·t s = u·t + ½·a·t²
How it works
With constant acceleration the velocity changes by a each second, and the displacement is the area under the velocity–time graph. Use SI units (metres, seconds) for consistent results.
Worked example
The same calculation with the default values:
- Initial velocity u 0 m/s
- Acceleration a 2 m/s²
- Time t 5 s
- v = 0 + 2 × 5 = 10
- s = 0 × 5 + ½ × 2 × 5² = 25
Result: Final velocity v: 10 m/s · Displacement s: 25 m
Assumes acceleration is perfectly constant throughout the motion - real-world acceleration (braking, falling with air resistance, engines) usually varies, so these equations are an idealization valid only while the acceleration truly stays constant.
Common mistakes
- Mixing up initial velocity (u) and final velocity (v) - swapping them flips the sign of the computed acceleration or distance.
- Forgetting that a negative acceleration means slowing down (or reversing direction), not necessarily "negative speed" - the sign conveys direction relative to the chosen positive axis, not a physically negative quantity.
- Using inconsistent units (e.g. km/h for velocity with seconds for time) - every equation here requires one consistent unit system (typically m/s, m, s), so unit conversion must happen before plugging values in.
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