Uniform-acceleration kinematics API

Solve the SUVAT equations of motion (v = u + a·t, s = u·t + ½·a·t²) for final velocity, displacement, and average velocity. Answers 'final speed after accelerating 2 m/s² for 5s from 10 m/s','how far does it travel','average velocity over the interval'.

Price$0.01per request

MethodPOST

Route/v1/calc/eng-kinematics

StatusLive

MIME typeapplication/json

Rate limit120/minute

CacheNo cache

calcengineeringphysicskinematicssuvataccelerationvelocitymotion

API URLhttps://x402.hexl.dev/v1/calc/eng-kinematics

Integration docs

Example request

{
  "initialVelocityMs": 10,
  "accelerationMs2": 2,
  "timeS": 5
}

Example response

{
  "initialVelocityMs": 10,
  "accelerationMs2": 2,
  "timeS": 5,
  "finalVelocityMs": 20,
  "displacementM": 75,
  "avgVelocityMs": 15,
  "formula": "v = u + a*t, s = u*t + 0.5*a*t^2"
}

Input schema

{
  "type": "object",
  "required": [
    "initialVelocityMs",
    "accelerationMs2",
    "timeS"
  ],
  "properties": {
    "initialVelocityMs": {
      "type": "number",
      "description": "u (m/s)",
      "examples": [
        10
      ]
    },
    "accelerationMs2": {
      "type": "number",
      "description": "a (m/s²)",
      "examples": [
        2
      ]
    },
    "timeS": {
      "type": "number",
      "description": "t (s)",
      "examples": [
        5
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}