Would the following work?
Imagine one would
1) create a straight 4000 km long tube (at ground level), following the curvature of the Earth, wide enough to hold a pod the size of an aircraft cabin;
2) remove the air in front of the pod and make sure it accelerates to a speed of 28000 kph.
Would one achieve weightlessness inside the pod for ten minutes? If not, what are the obstacles?