Source: https://guthlabs.ai/docs/instruments/2d-kinematics-vector-solver/implementation/

instrument implementation / implementation-contract

# 2D Kinematics Vector Solver implementation

A source-bound implementation contract for 2D Kinematics Vector Solver; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: t2-011

**Effect**: Computation or source lookup only

## Input and validation requirements

The extreme-magnitude vector produces Infinity and -Infinity through overflow in plain JavaScript arithmetic. The solver is also vulnerable to materially different results if angle units or vertical-axis/sign conventions are not enforced.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "v0_m_per_s": 20,
    "angle": 30,
    "angle_unit": "degrees",
    "g_m_per_s2": 9.81,
    "time_s": 2
  },
  "expected_outputs": {
    "vx_m_per_s": 17.3205,
    "vy_m_per_s": -9.62,
    "x_m": 34.641,
    "y_m": 0.38
  },
  "working": "vx = v0 cos(theta) = 20 cos(30 degrees) = 20(0.866025) = 17.3205 m/s. vy = v0 sin(theta) - gt = 20(0.5) - 9.81(2) = 10 - 19.62 = -9.62 m/s. x = v0 cos(theta)t = 17.3205(2) = 34.641 m. y = v0 sin(theta)t - 0.5gt^2 = 20(0.5)(2) - 0.5(9.81)(2^2) = 20 - 19.62 = 0.38 m."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/2d-kinematics-vector-solver/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/2d-kinematics-vector-solver/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/2d-kinematics-vector-solver/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche2/tranche2-results.json`