Acceleration Calculator with Step-by-Step Solutions
This acceleration calculator solves motion problems using the kinematic equations of physics. Find acceleration, velocity, displacement, or time, and see the full working behind every answer. It is built for students, teachers, and anyone checking constant-acceleration problems.
Work in Basic mode with the core formula a = (v - v₀) / t, or switch to Kinematic Equations mode to solve the full SUVAT set. Results update as you type, and the gravity presets fill in Earth, Moon, or Mars acceleration in one click.
How to Calculate Acceleration
Choose a mode
Stay on the Basic tab for the simple a = (v - v₀) / t formula, or open the Kinematic Equations tab to work with the full SUVAT equations.
Set what to solve for
In Basic mode, pick Acceleration (a), Velocity (Δv), or Time (t). The relevant input fields appear automatically. In Kinematic mode there is nothing to choose — just leave the unknowns blank.
Enter the known values
Type the values you already have. In Kinematic mode, enter any 3 of the 5 variables (s, u, v, a, t) — or 4 to solve for a single unknown. Use the gravity presets to fill the acceleration field instantly.
Read the result and steps
The answer appears instantly as you type. Open Solution Steps to see the formula, value substitution, and intermediate calculations. In Kinematic mode the Equations used line shows which equations were applied.
Features
Basic Acceleration Formula
Solve a = (v - v₀) / t directly, the quickest way to find average acceleration from a change in velocity over time.
Solve for Any Variable
In Basic mode, switch the target between acceleration, final velocity, and time, and the input fields adjust to match.
SUVAT Kinematic Solver
Work with all four constant-acceleration equations for displacement, velocity, acceleration, and time in one place.
Auto-Detect Equations
Enter any 3 of the 5 variables and the solver picks the right equations and computes the remaining two for you.
Step-by-Step Solutions
Each result includes the formula, value substitution, and intermediate steps — handy for learning and checking your work.
Gravity Presets
Fill the acceleration field with one click for Earth (9.81 m/s²), Moon (1.63 m/s²), or Mars (3.72 m/s²).
Real-Time Calculation
Answers recompute automatically as you type, so there is no separate calculate button to press.
One-Click Clear
Reset every field in the current mode instantly to start a fresh problem.
Frequently Asked Questions
How do you calculate acceleration?
Acceleration is the change in velocity divided by the time taken: a = (v - v₀) / t. In Basic mode, choose to solve for acceleration, enter the initial velocity, final velocity, and time, and the calculator returns the value in m/s² along with the working.
What is the acceleration formula?
The basic formula is a = (v - v₀) / t, where v is final velocity, v₀ is initial velocity, and t is time. For constant-acceleration motion the calculator also uses the four SUVAT equations: v = u + at, s = ut + ½at², v² = u² + 2as, and s = ½(u + v)t.
How do I find acceleration from velocity and time?
Subtract the initial velocity from the final velocity to get the velocity change, then divide by the time. In Basic mode, set the calculator to solve for acceleration and enter the initial velocity, final velocity, and time — it computes a = (v - v₀) / t and shows each step.
Can I calculate acceleration without time?
Yes. Use the Kinematic Equations tab and enter displacement (s), initial velocity (u), and final velocity (v). The solver applies v² = u² + 2as to find acceleration without needing the time, then derives any remaining variable.
What are the SUVAT equations?
SUVAT names the five constant-acceleration variables: s (displacement), u (initial velocity), v (final velocity), a (acceleration), and t (time). Enter any 3 of them in Kinematic mode and the calculator solves for the remaining two automatically.
What are the units of acceleration?
The SI unit of acceleration is meters per second squared (m/s²). This calculator works in SI units throughout: velocity in m/s, displacement in meters, time in seconds, and acceleration in m/s².
Can the calculator handle negative values?
Yes. Negative acceleration represents deceleration (slowing down), and negative displacement means motion in the opposite direction. The calculator handles all sign combinations correctly across both modes.
Why does the calculator show no result?
This happens when the inputs describe an impossible scenario — such as dividing by zero when time or acceleration is zero — or when too few variables are provided. In Kinematic mode you need at least 3 known values. Check your inputs and make sure they make physical sense.
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