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Acceleration Calculator

Calculate acceleration from initial velocity, final velocity, and time using a = (v − u) / t.

Acceleration (a = (v − u) / t)
3.268 m/s²
0.333 g (Earth gravities)
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Calculation Guide & Reference

Acceleration from Change in Velocity Mathematics

Acceleration calculator computes acceleration in m/s² from initial velocity, final velocity, and elapsed time, using a = (v − u) / t.

Standardized Mathematical Formula
a = (v − u) / t

Acceleration is the rate of change of velocity over time — the difference between final and initial velocity, divided by how long that change took. A positive result means speeding up; a negative result means slowing down (deceleration).

Variables:
u:Initial velocity (m/s)
v:Final velocity (m/s)
t:Time elapsed (seconds)
How It Works (Step-by-Step)
  • 1Enter the initial velocity, final velocity, and the time elapsed between them.
  • 2View the resulting acceleration in m/s², plus the equivalent in multiples of Earth's gravity (g).
Real-World Numerical Example
A Car Accelerating from 0 to 100 km/h in 8.5 Seconds

A car goes from a standstill (0 m/s) to 100 km/h (27.78 m/s) in 8.5 seconds.

a = (27.78 − 0) ÷ 8.5 ≈ 3.27 m/s².
Result: The car accelerates at approximately 3.27 m/s² — about 0.33 g.
Calculation Best Practices & Tips
Maintain consistent SI units (meters, kilograms, seconds, amperes, volts) across all variables before computing.
Check vector sign conventions (e.g., downward acceleration due to gravity g = -9.80665 m/s²) in projectile motion problems.

Frequently Asked Questions (FAQ)

a = (v − u) / t, where v is final velocity, u is initial velocity, and t is the time elapsed — the change in velocity divided by the time it took.

Negative acceleration (sometimes called deceleration) means velocity is decreasing in the positive direction — the object is slowing down, assuming it started with a positive velocity.

Divide the acceleration in m/s² by 9.81 (Earth's standard gravity) — 1g equals 9.81 m/s², a common reference point for comparing accelerations like rocket launches or roller coasters.

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