Science calculator

SUVAT calculator.

The five equations of motion for constant acceleration. Enter any three of displacement s, initial velocity u, final velocity v, acceleration a and time t — leave the other two blank — and it solves the rest. GCSE and A-level; the assumptions are stated below.

Displacement s

Initial velocity u

Final velocity v

Acceleration a

Time t

SUVAT

—

enter any three values

Displacement s: —
Initial velocity u: —
Final velocity v: —
Acceleration a: —
Time t: —

Display precision

v = u + a t

s = u t + \frac{1}{2} a t^{2}

s = \frac{1}{2} (u + v) t

v^{2} = u^{2} + 2 a s

s = v t - \frac{1}{2} a t^{2}

s displacement (m) · u initial velocity (m/s) · v final velocity (m/s) · a acceleration (m/s²) · t time (s)

Assumptions

Constant (uniform) acceleration throughout — the five equations don't hold if a changes.
Motion in a straight line. Pick one direction as positive and keep every quantity's sign consistent (a decelerating object has a negative a, a downward throw a negative u, and so on).
When time comes from a quadratic (e.g. a projectile passing a height twice), the first — smallest non-negative — solution is shown.
SI units throughout: metres, metres per second, m/s², seconds.

How it works

Each of the five equations links four of the five quantities, leaving one out. Give any three and there is always a pair of equations that pins down the other two — the calculator picks them for you, so you don't have to remember which equation to reach for.

Signs carry the physics: keep a single positive direction and let velocities and accelerations be negative when they point the other way. Results use up to three significant figures by default (adjustable above), without padding with trailing zeroes; the two the calculator worked out are highlighted.

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From the maker of Ans — a scientific calculator you can own. Same idea: a proper instrument, nothing in the way.