Public evidence

physics.kinematics.trajectory

Machine-checked verification for calculation version 1.0.0 · tier expert_verified

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

CVP: CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· No drag; level ground · Protocol · Schema · Production report

Declared partition coverage: PASS · 2/2 declared partitions (trajectory, invalid-domain)
Versions: Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity: 1/1 property · digest 1739df87d157

Verification

Legacy regression suite: 3/3 calculation tests · Production surface contract 4/4

Three distinct suites: educational examples on the calculator page, this legacy regression count (3/3 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Calculation version 1.0.0. CVP 1.0.0-proposed. 1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 property · 1/1 cross-interface · 1/1 CVP contract. digest 1739df87d157.

Golden (oracle-backed) 1 / 1
CVP boundary 1 / 1
Invalid input 1 / 1
Property 1 / 1
Cross-interface 1 / 1
CVP contract 1 / 1
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session.
Assurance Engineering

release artifacts aligned PASS
schema valid input executes PASS
engine success output validates schema PASS
schema rejects incomplete input PASS

Fingerprint sha256:3116031e2694e8991a3009f8a3f39dc756dde3f6badcb304e1c820afdd49ec6e

Input schema sha256:c3837825fdc329127a8f97ddee9d6712a3e92ef13c0bd69eed6d243739b89a07 · Output schema sha256:e3e81f18a47af15fa636e8fdcf8a83a91c8ac0fcd1d8d58eece847affd57f9e1 · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool: trajectory
Engine: trajectory
Engine build: 2026-09-10
Evidence core: 2026-09-06T13:16:40.891Z
Rendered: 2026-09-16T22:03:43.763Z
Last reviewed: 2026-08-09

Limitations

No drag; level ground

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Intro physics / NIST units — standard relations
Supports: engine formulas
Intro kinematics / projectile texts — Flat-ground trajectory
Supports: R = v0² sin(2θ)/g

Legacy published checks

Golden and boundary cases from the legacy Evidence JSON. CVP property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the Manifest — including SKIP when a suite has no vectors.

ID	Kind	Status	Detail
`full`	golden	pass	Expected range_m=40.78864851911713 · Actual mode=full · v0_m_s=20 · angle_deg=45 · g_m_s2=9.80665 · range_m=40.78864851911713 · H_m=10.19716212977928 · T_s=2.8841929963302353 · vx_m_s=14.142135623730951
`bad`	boundary	pass	Expected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
`property-traj-ang`	property	pass	45