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Kinematics Calculator

Solve any three of u, v, a, s, t with the SUVAT equations. Includes free-fall and projectile motion modes. Runs in your browser.

Kinematics calculator

Pick a mode

Every mode runs in your browser with native math; nothing is uploaded.

Provide any three of u, v, a, s, t for a one-dimensional motion with constant acceleration. The other two are solved automatically.

Inputs

Fill in any three variables. Leave the others blank.

Speed of the object at the start of the interval.

Speed of the object at the end of the interval.

Constant acceleration applied during the interval.

Net signed change in position between start and end.

Duration of the interval. Time is always non-negative.

Results

Filled-in inputs are echoed back; solved values are highlighted.

Ugiven

0

m/s (metres per second)

Vgiven

20

m/s (metres per second)

Agiven

2

m/s² (metres per second squared)

Ssolved

100

m (metres)

Tsolved

10

s (seconds)

Used v = u + a t for t, then s = (u + v) t / 2 for s.

Worked examples

Each preset fills in inputs for one of the three modes so you can see how the solver behaves.

The four SUVAT equations

These hold for any one-dimensional motion with constant acceleration. Each combines four of the five variables; the SUVAT solver picks the right one for you.

  • 1. v = u + a t
  • 2. s = u t + ½ a t²
  • 3. v² = u² + 2 a s
  • 4. s = (u + v) t / 2

How to use

  1. Pick a mode: SUVAT solver for any three of u, v, a, s, t; Free fall for a dropped object under gravity; or Projectile motion for an angled launch.
  2. Type values into the input fields. Use decimals (9.81), fractions (3/4), or scientific notation (1e3). For SUVAT, leave exactly two fields blank so the solver knows which two to find.
  3. Read the results panel. Solved values are highlighted, the equation used is shown beneath, and a second solution appears whenever the equations admit two valid times.
  4. In free-fall and projectile modes, tap a gravity preset for Earth, Mars, the Moon, Jupiter, or Mercury, or type any value you need.
  5. Tap a worked-example preset to load a classic textbook problem, or copy the result summary with the Copy buttons.

About this tool

Kinematics Calculator solves the four standard SUVAT equations for one-dimensional motion with constant acceleration, and adds focused modes for free fall under gravity and projectile motion through the air. The SUVAT solver takes any three of initial velocity (u), final velocity (v), acceleration (a), displacement (s), and time (t), and derives the remaining two using whichever pair of the four canonical equations is best conditioned for the chosen unknowns. When the underlying algebra is a quadratic in time, both physically meaningful roots are returned (so a ball thrown straight up that returns to its launch height surfaces both the rising and the falling solution), and negative-time roots are filtered out automatically. The free-fall mode treats the object as dropped from rest under a configurable gravity, with presets for Earth, Mars, the Moon, Jupiter, and Mercury, and accepts any two of fall height, fall time, or impact speed. The projectile motion mode takes a launch speed, a launch angle in degrees, and an optional initial height above the landing plane; it returns the horizontal and vertical components of the launch velocity, the time to peak, the peak height, the total time of flight, the horizontal range, and the impact speed and impact angle. Worked-example presets cover a car braking to a stop, a stone dropped from a cliff, a level-ground cannon launch, a train accelerating from rest, and an Apollo-style drop on the Moon, so students preparing for GCSE, A-level, AP, or first-year university physics can sanity-check a textbook problem in one tap. Air resistance is ignored, which matches the assumption used in every standard kinematics curriculum. Calculations run entirely in your browser; no value you enter is sent to a server.

Free to use. Works in your browser. No signup, no login.

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