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physics

Acceleration Calculator

Calculate average acceleration from initial velocity, final velocity, and elapsed time.

Acceleration
10 m/s²
a = (v − v₀) ÷ t
In m/s²
10 m/s²
In ft/s²
32.8084 ft/s²
g-force
1.0197 g

How it works

  1. 1Enter the initial velocity (v₀) and final velocity (v) in your chosen unit system, then enter the elapsed time in seconds.
  2. 2The calculator converts both velocities to SI (m/s), applies the kinematics formula a = (v − v₀) ÷ t, and returns the result in m/s² or ft/s².
  3. 3The stat panel also displays the raw SI value and the equivalent g-force so you can judge the magnitude at a glance.

Use cases

  • Physics students solving kinematics problems involving uniformly accelerated motion.
  • Automotive engineers comparing 0–100 km/h acceleration figures across vehicles.
  • Aerospace analysts checking whether a manoeuvre subjects occupants to dangerous g-forces.

Frequently asked questions

What formula does this calculator use?

It uses the average-acceleration definition: a = (v − v₀) ÷ t, where v₀ is the initial speed, v is the final speed, and t is the elapsed time in seconds. For example, accelerating from 0 to 100 m/s in 10 s gives a = (100 − 0) ÷ 10 = 10 m/s².

What does the g-force figure mean?

g-force is the acceleration expressed as a multiple of standard gravity (g ≈ 9.807 m/s²). An acceleration of 10 m/s² corresponds to roughly 1.02 g. Fighter pilots routinely endure 9 g; everyday car braking is around 0.8 g.

Why does the result show “—” when I enter 0 for time?

Division by zero is mathematically undefined, so the calculator returns no result rather than an infinite or misleading value. Increase the elapsed time to a positive number to get a meaningful acceleration.

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