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SUVAT Question Generator

Motion under constant acceleration, where the skill is choosing which of the equations has the four quantities you actually have. Values here are drawn so that the arithmetic stays manageable, and deceleration — a negative acceleration — appears above the gentle level, because a negative value is where sign errors start and where a final velocity below the initial one stops looking like a mistake.

What this generator does

Draws an initial velocity, an acceleration and a time, then asks for either the final velocity or the distance travelled. The working names the equation being used and substitutes the values into it explicitly.

How to use this tool

  1. Choose how many questions you want and at what level.
  2. List what you have been given, then pick the equation containing exactly those quantities.
  3. Reveal the answer, or the working to see the substitution.
  4. Seed the set to give a class the same questions.

Understanding the controls

How many questions
Between 1 and 20. Eight gives a good mix of the two question types.
Level
Gentle uses positive accelerations and asks only for the final velocity. Standard and stretch allow deceleration and mix in distance questions over longer times.
Seed
Reproduces the same motions exactly from a word you pick.
Show the answers / working
The value alone, or the equation choice and the substitution.

Common use cases

  • Practice at selecting the right equation rather than at the arithmetic
  • Introducing negative acceleration as deceleration in a concrete question
  • Alternating between final-velocity and distance questions
  • Homework where the working can be checked line by line
  • Producing the same set twice from a seed

How this generator works

Values are drawn as whole numbers and the answer computed from v = u + at or s = ut + ½at². Zero acceleration is rejected, since it makes the question trivial. The check recomputes the answer from the same three values and requires it to match after rounding, so an answer cannot drift from the question it belongs to.

Randomness and fairness

The initial velocity, acceleration and time are random; the equations are fixed physics. Seeded sets reproduce and are therefore explicitly not cryptographically secure. Unseeded, the browser's cryptographically secure generator supplies the values.

For how randomness is produced across the whole site, see how Generate Random works.

Limitations and good to know

  • Constant acceleration only — this is not projectile motion or variable acceleration.
  • Motion is in one dimension, so vectors and components do not appear.
  • Only two of the five SUVAT equations are exercised as question types.
  • Units are metres and seconds throughout, so unit conversion is not part of the practice.
  • Nothing is retained after you leave, so seed a set you want to hand out twice.

Privacy and your data

All values and answers are generated in your browser. Nothing about the questions you produce is transmitted or kept.

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