Calling vue v-model from inside jquery code

I have this jquery code that i run when the mounted hook runs

  mounted() {
    this.$progress.finish();
    
    var geocoder = new google.maps.Geocoder();
var marker = null;
var map = null;
function initialize() {
      var $latitude = document.getElementById('latitude');
      var $longitude = document.getElementById('longitude');
      var latitude = -1.286389;
      var longitude = 36.817223;
      var zoom = 16;

      var LatLng = new google.maps.LatLng(latitude, longitude);

      var mapOptions = {
        zoom: zoom,
        center: LatLng,
        panControl: false,
        zoomControl: true,
        scaleControl: true,
        mapTypeId: google.maps.MapTypeId.ROADMAP
      }

      map = new google.maps.Map(document.getElementById('map'), mapOptions);
      if (marker && marker.getMap) marker.setMap(map);
      marker = new google.maps.Marker({
        position: LatLng,
        map: map,
        title: 'Drag Me!',
        draggable: true
      });

      google.maps.event.addListener(marker, 'dragend', function(marker) {
        var latLng = marker.latLng;
        $latitude.value = latLng.lat();
        $longitude.value = latLng.lng();
        this.property_coordinates = 'hello world';
      });


    }
    initialize();
    $('#findbutton').click(function (e) {
        var address = $("#Postcode").val();
        geocoder.geocode({ 'address': address }, function (results, status) {
            if (status == google.maps.GeocoderStatus.OK) {
                map.setCenter(results[0].geometry.location);
                marker.setPosition(results[0].geometry.location);
                $(latitude).val(marker.getPosition().lat());
                $(longitude).val(marker.getPosition().lng());
            } else {
                alert("Geocode was not successful for the following reason: " + status);
            }
        });
        e.preventDefault();
    });
    
    
  },

I want to grab the coordinates when the marker is dragged and this should updat ethe v-model variable property_coordinates

google.maps.event.addListener(marker, 'dragend', function(marker) {
            var latLng = marker.latLng;
            $latitude.value = latLng.lat();
            $longitude.value = latLng.lng();
            this.property_coordinates = 'hello world';
          });

This this.property_coordinates = 'hello world'; does not update the v-model. How can i update the v-model from within jquery code?