Calculus/Cal 2·distance-traveled

Distance Traveled

Calculate the total distance traveled by a particle given its velocity function over a specified time interval.

Math animationCalculus/Cal 2 · distance-traveled

✓ All 2 test cases pass.

Inputs

Velocity Function

The function representing the velocity of the particle.

Start Time

The start of the time interval.

End Time

The end of the time interval.

Test cases

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#	Inputs	Expected	Got	Status
1	{"velocity_function":"6*t - 6","time_start":0,"time_end":3}	15	15	✓
2	{"velocity_function":"t^2 - 4*t + 3","time_start":0,"time_end":4}	4	4.000000000000003	✓

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Endpoint

POST/api/calculators/calculus-cal-2/distance-traveled/compute

Inputs (3)

velocity_functionexpressiondefault "6*t - 6"
time_startnumberdefault 0
time_endnumberdefault 3

Example

curl -sX POST http://localhost:3001/api/calculators/calculus-cal-2/distance-traveled/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"velocity_function":"6*t - 6","time_start":0,"time_end":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: Calculus II Final Exam Review.pdf. Reproduces a standard distance-traveled computation; problem text paraphrased.

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