When this helps
Check whether a straight move is long enough to reach a target speed, and estimate its ideal time. Start with Target speed; this calculator reports Reachable peak speed.
Tools · Print planning
3D printer acceleration calculator
Check whether a straight move is long enough to reach a target speed, and estimate its ideal time.
Results
- Distance to target speed
- 4 mm
- Distance to accelerate and decelerate
- 8 mm
- Reachable peak speed
- 200 mm/s
- Ideal move time
- 0.29 s
Method
Acceleration distance = speed² ÷ (2 × acceleration). A move from and back to rest needs twice that distance; shorter moves peak at √(acceleration × distance).
Worked example
Example inputs
- Target speed
- 200 mm/s
- Acceleration
- 5000 mm/s²
- Move length
- 50 mm
Calculated outputs
- Distance to target speed
- 4 mm
- Distance to accelerate and decelerate
- 8 mm
- Reachable peak speed
- 200 mm/s
- Ideal move time
- 0.29 s
How to read the result
With these example inputs, Reachable peak speed is 200 mm/s. Use that value for the setting or decision named above, and read the other outputs as supporting checks.
Common mistake
Do not leave Target speed at the example value of 200 mm/s unless it matches your own measurement.
Assumptions and limits
An ideal straight move from rest to rest with constant, symmetric acceleration. Firmware look-ahead, corner velocity, input shaping, extrusion and machine limits can change real motion.