CalKit

Acceleration Calculator

Calculate acceleration from initial velocity, final velocity and time.

m/s
m/s
s
가속도 (a)
4m/s²

a = (v - u) / t = (20 - 0) / 5

상세 결과

가속도 (a)4 m/s²
이동 거리 (s)50 m
평균 속도10 m/s
초기 속도 (u)0 m/s
최종 속도 (v)20 m/s
시간 (t)5 s
가속도 공식a = (v - u) / t
거리 공식s = ut + ½at²

Overview

Calculate acceleration from velocity change and time using a = Δv/Δt. Useful for comparing vehicle performance, physics experiments, and engineering design involving uniformly accelerated motion.

Formula

Acceleration = Velocity Change ÷ Time  (a = Δv / Δt = (v₂ - v₁) / t)
Final Velocity = Initial Velocity + Acceleration × Time  (v₂ = v₁ + a × t)

Kinematic Equations:
  d = v₁t + ½at²
  v₂² = v₁² + 2ad

Units: Acceleration (m/s²), Velocity (m/s), Time (s)

How to Use

  1. 1Enter the initial velocity (v₁).
  2. 2Enter the final velocity (v₂).
  3. 3Enter the elapsed time (t).
  4. 4Acceleration and distance traveled are calculated automatically.

Tips

  • ✔Gravitational acceleration (g) is approximately 9.8 m/s².
  • ✔Negative acceleration means deceleration (braking).
  • ✔You can find average acceleration from a car's 0–100 km/h time.
  • ✔1 G = 9.8 m/s². Roller coasters and fighter jets can produce several Gs.

FAQ

Q. Why is gravitational acceleration 9.8 m/s²?

It is the acceleration due to Earth's gravity at its surface. g = GM/R², determined by Earth's mass (M), radius (R), and the gravitational constant (G). It varies slightly with latitude and altitude.

Q. What is the difference between uniform acceleration and uniform velocity?

Uniform velocity means zero acceleration and constant speed. Uniform acceleration means constant acceleration with velocity changing at a steady rate over time.

Q. What happens in free fall without air resistance?

All objects fall at the same acceleration (g ≈ 9.8 m/s²) regardless of mass. This was demonstrated by Galileo's thought experiment and Apollo 15's hammer-feather drop on the Moon.

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