Coordinate distance uses the haversine formula: a = sin²(delta latitude / 2) + cos(latitude one) cos(latitude two) sin²(delta longitude / 2).
Central angle is c = 2 atan2(square root a, square root one minus a). Base distance is earth radius times c.
Estimated road distance is base distance times one plus route factor percent divided by 100.
Travel time is total route distance divided by average speed.
Reaction distance is speed times reaction time. Braking distance is speed squared divided by two times deceleration.
Deceleration is gravity times effective friction. Uphill grade adds to friction. Downhill grade subtracts from friction.
Total stopping distance is reaction distance plus braking distance, then multiplied by the safety margin factor.
Kinetic energy is one half times vehicle mass times speed squared. Braking force is mass times deceleration.
How To Use This Calculator
Select manual distance when you already know the road length. Select coordinate estimate when you want an open formula estimate from latitude and longitude.
Enter the route factor to allow for curves, streets, detours, and road layout. Use a higher factor when coordinates are far from road reality.
Add speed, reaction time, friction, grade, mass, fuel, and safety values. Press calculate to see the result above the form.
Use CSV for spreadsheet work. Use PDF for a simple saved report.
Driving Distance Physics Guide
Open source distance work starts with visible inputs. A route service can be useful, but this calculator works without a map call. It uses latitude, longitude, speed, friction, grade, mass, fuel data, and safety margin. Each value remains editable, so the result is easy to audit.
What The Calculator Measures
The tool estimates three connected parts of a trip. First, it finds route length. You may enter a known road distance, or you may enter two coordinate points. The coordinate option uses the haversine method. A route factor then expands straight distance into a road estimate.
Second, the tool studies stopping distance. Reaction distance grows linearly with speed and driver delay. Braking distance grows with the square of speed. That is why a small speed increase can create a large stopping problem. Friction, slope, and safety margin change the final number.
Third, the tool estimates travel time, fuel, cost, rolling work, kinetic energy, braking force, and average braking power. These values help compare driving plans. They also show how vehicle mass and speed affect physical demand.
Why Open Formulas Matter
Open calculations make the page useful for learning and checking. The formulas are not hidden inside a remote routing system. You can see every assumption. You can adjust the road factor, friction value, or fuel method when better local data is available.
Physics Behind The Result
The calculator converts all units to metres, seconds, and kilograms. It then applies standard motion equations. Speed becomes metres per second. Distance becomes metres. Deceleration comes from gravity, friction, and grade. Energy comes from vehicle mass and speed. Fuel cost uses the selected fuel model.
Practical Use Cases
Use the calculator for safety checks, route planning, fleet estimates, classroom examples, and driver training. It is not a replacement for road signs, weather judgement, or professional engineering. Wet roads, worn tyres, poor visibility, traffic, curves, and fatigue can all increase risk.
Good Inputs Improve Accuracy
Start with a realistic average speed. Use lower friction for rain, gravel, snow, or worn tyres. Add a route factor when using coordinates. Add a safety margin for uncertain conditions. Review the table before downloading a report. A transparent method makes the result easier to explain.
FAQs
What is open source driving distance calculation?
It means the page uses visible formulas and user inputs. The calculation does not hide the method inside a closed route service.
Can this replace a map distance service?
No. It can estimate distance from known road length or coordinates. A live map service may still give better turn by turn road distance.
Why is route factor needed?
Coordinate distance is usually shorter than real road travel. The route factor adds extra distance for curves, streets, detours, and road layout.
What friction value should I use?
Use higher values for dry pavement. Use lower values for rain, snow, gravel, worn tyres, or uncertain road conditions.
Why does speed affect braking so strongly?
Braking distance depends on speed squared. Doubling speed can make braking distance about four times larger, before other factors change.
Does road grade matter?
Yes. Uphill grade helps slow the vehicle. Downhill grade reduces effective braking and can increase stopping distance.
What does the fuel result show?
It estimates fuel from total distance and the selected fuel model. It also estimates cost when a fuel price is entered.
Is the PDF generated without extra libraries?
Yes. The page creates a simple PDF report directly in the script. It is meant for basic export and record keeping.