Displacement Calculator

How it works

1. 1Enter the initial velocity v₀, the constant acceleration a, and the elapsed time t in your preferred unit system (metric or imperial).
2. 2Each input is converted to SI base units; the core computes s = v₀t + ½at², then the result is converted back for display.
3. 3The stat grid also shows displacement fixed in metres (for easy comparison) and the final velocity v = v₀ + at for context.

Use cases

• Checking how far a car travels while accelerating from rest to highway speed.
• Solving uniform-acceleration problems in high-school and university physics courses.
• Estimating the run-up distance a rocket sled covers during a timed test burn.

Frequently asked questions

What formula does this calculator use?

It uses the constant-acceleration kinematic equation s = v₀t + ½at², where s is displacement, v₀ is initial velocity, a is acceleration, and t is time. For example, with v₀ = 0 m/s, a = 2 m/s², and t = 5 s: s = 0 × 5 + ½ × 2 × 25 = 25 m.

Is displacement the same as total distance travelled?

No. Displacement is a vector — it is the straight-line change in position from start to finish, including direction. If an object moves forward then doubles back, the total distance can be greater than the magnitude of its displacement. This calculator returns displacement, not path length.

What if the object decelerates (negative acceleration)?

Enter a negative value for acceleration. The formula handles it correctly: a negative a reduces s. Note that if the object decelerates to rest and the time entered extends beyond that point, the result assumes the acceleration continues, so choose t carefully for real-world braking scenarios.