Dynamics·kinematics-initial-velocity-position

Kinematics Initial Velocity Position

For a particle with a given initial velocity and acceleration, determine its position after a specified time.

Math animationDynamics · kinematics-initial-velocity-position

✓ All 2 test cases pass.

Inputs

Initial Velocity

The initial velocity of the particle.

Initial Position

The initial position of the particle.

Acceleration

The constant acceleration of the particle.

Time

The time at which to calculate the position.

Test cases

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#	Inputs	Expected	Got	Status
1	{"initial_velocity":12,"initial_position":0,"acceleration":-2,"time":10}	20	20	✓
2	{"initial_velocity":10,"initial_position":5,"acceleration":-1,"time":5}	42.5	42.5	✓

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Endpoint

POST/api/calculators/dynamics/kinematics-initial-velocity-position/compute

Inputs (4)

initial_velocitynumberdefault 12
initial_positionnumberdefault 0
accelerationnumberdefault -2
timenumberdefault 10

Example

curl -sX POST http://localhost:3001/api/calculators/dynamics/kinematics-initial-velocity-position/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"initial_velocity":12,"initial_position":0,"acceleration":-2,"time":10}}'

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-initial-velocity-position computation; problem text paraphrased.

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