TypeError: google.visualization.DataTable is not a constructor

I got the same message, but just because I forgot to load the package

  // was -> google.charts.load('current', {'packages':['bar', 'corechart']});
  google.charts.load('current', {'packages':['bar', 'corechart', 'table']});

I don't think you can add more than one callback like that.

Also, you can define the callback in the load method, like so...

google.load('visualization', '1.0', {'packages':['corechart'], 'callback': drawCharts});

function drawCharts() {
  drawAltitudeChart();
  drawDisplacementChart();
  drawDistanceChart();
}

EDIT

the above load statement is for the older library...

<script src="http://www.google.com/jsapi"></script>

according to the release notes...

The version of Google Charts that remains available via the jsapi loader is no longer being updated consistently. Please use the new gstatic loader from now on.

using the new library...

<script src="https://www.gstatic.com/charts/loader.js"></script>

changes the load statement to...

google.charts.load('current', {'packages': ['corechart'], 'callback': drawCharts});

EDIT 2

you can also load all the packages you need in one load statement, e.g.
instead of...

google.charts.load('current', { 'packages': ['table'] });
google.charts.load('current', { 'packages': ['bar'] });
google.charts.load('current', { 'packages': ['pie'] });  // <-- 'pie' package does not exist
google.charts.load('current', { 'packages': ['corechart'] });
google.charts.setOnLoadCallback(drawCharts);

it should be...

google.charts.load('current', {
  callback: drawCharts,
  packages: ['bar', 'corechart', 'table']
});