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To calculate the velocity of a vehicle in Flutter using GPS, you can follow these steps:

  1. Use the geolocator package to get the location of the device periodically.
  2. Calculate the distance between the current and previous location using the distanceBetween method.
  3. Calculate the time difference between the current and previous location.
  4. Calculate the velocity by dividing the distance by the time.
  5. Display the calculated velocity to the user.

Here's some sample code that demonstrates this approach:

import 'package:geolocator/geolocator.dart';
import 'dart:async';

class VelocityCalculator {
  Position _previousPosition;
  double _velocity = 0;

  Future<Position> _getCurrentPosition() async {
    return await Geolocator.getCurrentPosition(desiredAccuracy: LocationAccuracy.high);
  }

  void startCalculatingVelocity() async {
    // get the initial position as the previous position
    _previousPosition = await _getCurrentPosition();

    // start listening for position changes
    StreamSubscription<Position> positionStream = Geolocator.getPositionStream().listen((Position currentPosition) {
      // calculate the distance between current and previous position
      double distance = Geolocator.distanceBetween(
        _previousPosition.latitude,
        _previousPosition.longitude,
        currentPosition.latitude,
        currentPosition.longitude,
      );

      // calculate the time difference between current and previous position
      double timeDifferenceInSeconds = (currentPosition.timestamp.millisecondsSinceEpoch -
                                         _previousPosition.timestamp.millisecondsSinceEpoch) /
                                        1000;

      // calculate the velocity
      _velocity = distance / timeDifferenceInSeconds;

      // set the current position as previous for next calculation
      _previousPosition = currentPosition;
    });
  }

  double getCurrentVelocity() {
    return _velocity;
  }
}

You can start the velocity calculation by calling the startCalculatingVelocity method and get the current velocity by calling the getCurrentVelocity method.