Dynamics·kinematics-constant-acceleration

Kinematics Constant Acceleration

Given the initial position, initial velocity, and constant acceleration of a particle, calculate the velocity as a function of position.

Math animationDynamics · kinematics-constant-acceleration

✓ All 2 test cases pass.

Inputs

Initial Position (s0)

The starting position of the particle.

Initial Velocity (v0)

The starting velocity of the particle.

Constant Acceleration (a)

The constant acceleration of the particle.

Position (s)

The position at which to evaluate the velocity.

Test cases

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#	Inputs	Expected	Got	Status
1	{"initial_position":4,"initial_velocity":3,"acceleration":4.583,"position":10}	7.99975	7.9997499960936285	✓
2	{"initial_position":0,"initial_velocity":0,"acceleration":2,"position":5}	4.472136	4.47213595499958	✓

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Endpoint

POST/api/calculators/dynamics/kinematics-constant-acceleration/compute

Inputs (4)

initial_positionnumberdefault 0
initial_velocitynumberdefault 0
accelerationnumberdefault 0
positionnumberdefault 0

Example

curl -sX POST http://localhost:3001/api/calculators/dynamics/kinematics-constant-acceleration/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"initial_position":0,"initial_velocity":0,"acceleration":0,"position":0}}'

Try it live

Edit the body below, then click Call API.

Request body

Response

(click Call API to see the response)

full API docs →

Source: Pattern from: Russell C. Hibbeler - Engineering Mechanics_ Dynamics (14th Edition) Instructor's Solutions Manual-Prentice Hall (2015).pdf. Reproduces a standard kinematics-constant-acceleration computation; problem text paraphrased.

AI disclosure: Calculator code generated by openai/gpt-4o-mini-2024-07-18; verified by 2 test cases.