Average Acceleration Calculator

How it works

1. 1Enter the change in velocity (Δv) — the difference between final and initial speed — and select metric (m/s) or imperial (ft/s).
2. 2Enter the time interval (Δt) in seconds over which the velocity change occurred.
3. 3The calculator applies ā = Δv ÷ Δt and instantly shows the result in m/s² or ft/s², plus the equivalent g-force.

Use cases

• Analysing a car’s braking or acceleration performance from speed-change and elapsed-time data.
• Checking spacecraft or rocket stage burn efficiency given Δv budgets and burn durations.
• Physics coursework problems where students need to find acceleration from start/end velocities and time.

Frequently asked questions

What is the formula for average acceleration?

Average acceleration ā = Δv ÷ Δt, where Δv is the net change in velocity (final velocity minus initial velocity) and Δt is the elapsed time. For example, a car that goes from 0 to 27.78 m/s (≈ 100 km/h) in 10 s has ā = 27.78 ÷ 10 = 2.778 m/s².

What is the difference between average acceleration and instantaneous acceleration?

Average acceleration uses the total change in velocity over the whole time interval — it does not matter how the velocity varied in between. Instantaneous acceleration is the acceleration at a single moment, found by taking the limit as Δt → 0 (the derivative dv/dt). For uniform acceleration the two are equal; for non-uniform motion they differ.

Why is the result shown as a g-force as well?

g-force (g) expresses acceleration relative to standard gravity (9.80665 m/s²). It is useful for assessing physiological impact on a person or structural loads on a vehicle. For example, an acceleration of 2.778 m/s² equals 2.778 ÷ 9.80665 ≈ 0.28 g — well within the comfort range for passengers.