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Acceleration Calculator

Calculate acceleration from change in velocity and time.

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Acceleration

Formula first

Overview

Acceleration describes the rate at which an object's velocity changes over a specific period of time. It is a vector quantity that captures variations in both the speed and direction of an object as it moves from an initial state to a final state.

Symbols

Variables

u = Initial Velocity, v = Final Velocity, t = Time, a = Acceleration

Initial Velocity
m/s
Final Velocity
m/s
Time
Acceleration

Apply it well

When To Use

When to use: This formula is used when an object undergoes a change in velocity over a measured time interval, assuming the acceleration is constant. It is the primary tool for solving kinematics problems where displacement is not the focus.

Why it matters: Acceleration is a core concept in engineering and physics, essential for designing vehicle safety systems like seatbelts and analyzing the motion of everything from falling apples to orbiting satellites. It directly links the kinematic change in motion to the net forces acting on a mass.

Avoid these traps

Common Mistakes

  • Confusing v (final) and u (initial).
  • Forgetting the negative sign for slowing down.

One free problem

Practice Problem

A sports car starts from rest and reaches a final velocity of 30 m/s in exactly 5 seconds. Calculate the average acceleration of the car.

Initial Velocity0 m/s
Final Velocity30 m/s
Time5 s

Solve for:

Hint: The term 'rest' means the initial velocity (u) is 0 m/s.

The full worked solution stays in the interactive walkthrough.

References

Sources

  1. AQA GCSE Physics Student Book (Jim Breithaupt)
  2. Wikipedia: Acceleration
  3. Halliday, Resnick, and Walker: Fundamentals of Physics
  4. NIST CODATA
  5. IUPAC Gold Book
  6. Fundamentals of Physics by Halliday, Resnick, and Walker
  7. Halliday, Resnick, and Walker, Fundamentals of Physics, 11th ed., John Wiley & Sons, 2018.
  8. Serway, Raymond A., and Jewett, John W., Jr., Physics for Scientists and Engineers, 10th ed., Cengage Learning, 2018.