Dynamics·kinematics-particle-motion

Kinematics Particle Motion

Determine the deceleration and position of a particle given its velocity function and time, and calculate the total distance traveled and average speed over that time interval.

Math animationDynamics · kinematics-particle-motion

✓ All 2 test cases pass.

Inputs

Velocity Function (v)

The velocity function of the particle in terms of time.

Time (t)

The time at which to evaluate the position and deceleration.

Test cases

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#	Inputs	Expected	Got	Status
1	{"velocity_function":"6t - 3t^2","time":3}	8	7.999999999992014	✓
2	{"velocity_function":"6t - 3t^2","time":2}	4	3.999999999999994	✓

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Endpoint

POST/api/calculators/dynamics/kinematics-particle-motion/compute

Inputs (2)

velocity_functionexpressiondefault "6t - 3t^2"
timenumberdefault 3

Example

curl -sX POST http://localhost:3001/api/calculators/dynamics/kinematics-particle-motion/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"velocity_function":"6t - 3t^2","time":3}}'

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-particle-motion computation; problem text paraphrased.

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