Dynamics·kinematics-total-distance-traveled

Kinematics Total Distance Traveled

Determine the total distance traveled by a particle over a specified time interval based on its position function.

✓ All 2 test cases pass.

Inputs

Start time in seconds

The starting time of the interval.

End time in seconds

The ending time of the interval.

Position function

The mathematical expression defining the position of the particle as a function of time.

Test cases

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#	Inputs	Expected	Got	Status
1	{"time_start":0,"time_end":6,"position_function":"1.5t^3 - 13.5t^2 + 22.5*t"}	69	69.00000019199997	✓
2	{"time_start":1,"time_end":5,"position_function":"1.5t^3 - 13.5t^2 + 22.5*t"}	48	47.999999999999986	✓

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Endpoint

POST/api/calculators/dynamics/kinematics-total-distance-traveled/compute

Inputs (3)

time_startnumberdefault 0
time_endnumberdefault 6
position_functionexpressiondefault "1.5*t^3 - 13.5*t^2 + 22.5*t"

Example

curl -sX POST http://localhost:3001/api/calculators/dynamics/kinematics-total-distance-traveled/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"time_start":0,"time_end":6,"position_function":"1.5*t^3 - 13.5*t^2 + 22.5*t"}}'

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-total-distance-traveled computation; problem text paraphrased.

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