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Physics Calculators – Kinematics (Constant-Acceleration Motion)
x402
Physics Calculators – Kinematics (Constant-Acceleration Motion) is a paid API for AI agents from physics-calc.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-29).
Solves constant-acceleration kinematics: given any three of displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t), returns the remaining two unknowns.
Price / call$0.02
Success—
StatusUnknown
How this service works
Constant-acceleration motion: give any three of displacement, start speed, end speed, acceleration, time; get the other two.
Output
Returns a JSON object containing the two solved kinematic variables (whichever of s, u, v, a, t were not provided), a human-readable summary string, the input values echoed under 'given', any solution steps or reasons, and optionally a disclaimer about multiple solutions (e.g. two valid time values for some scenarios).
Example use cases
Braking distance for safety analysis
“A vehicle is traveling at 25 m/s and decelerates at 6.5 m/s² until it stops. How far does it travel before stopping, and how long does braking take?”
Rocket launch over known distance
“A rocket accelerates from rest over a 500-metre runway and reaches a final speed of 80 m/s — what is its acceleration and how long does the launch take?”
Free-fall time and speed check
“An object is dropped from a height of 45 metres under gravitational acceleration of 9.81 m/s² with zero initial velocity — what is its final speed and how long until it hits the ground?”
Technical details
Endpoint
GEThttps://physics-calc.x402tookit.com/kinematics?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need to solve any standard constant-acceleration (SUVAT) kinematics problem and you have exactly three of the five variables. It handles all solvable combinations and returns both missing values in one call. Prefer it over general-purpose math APIs when the problem is clearly a 1D constant-acceleration motion scenario; for non-constant acceleration, collisions, or rotational dynamics, use the sibling endpoints on the same domain.
Side effects
- Fewer than three variables provided — server returns an error indicating insufficient constraints
- Overdetermined input (all five provided with contradictory values) — returns error or flags inconsistency
- Negative time result — server may return degraded flag or note physical implausibility
- t < 0 constraint violation — may return warning in reasons array
- Network or payment authorization failure returns HTTP 402 or 5xx
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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