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How far does it travel before stopping, and how long does braking take?"},{"title":"Rocket launch over known distance","prompt":"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?"},{"title":"Free-fall time and speed check","prompt":"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?"}],"resultDescription":"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).","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-29T13:14:22.977Z","isFirstParty":false,"canonicalSlug":"physics-calculators-kinematics-constant-acceleration-motion-80790983"}