Hi Guy,
The joint you speak of is notorious for movement due to: 1) the fact that there are differential materials meeting at the joint, 2) it's a change of planes there, and 3) the fact that the tub is filled with much heavy water that stresses the joint. That joint really should have been caulked with a sealant like 100% silicone. The grout needs to be removed before the sealant is installed.
But the application of sealant alone doesn't guarantee that the tub was installed correctly. Many tub installation instructions require support such as foam, mortar, or other approved material under the belly of the tub. Refer to the instructions for their requirements. Then you'll need to speak to the contractor or view through the drain assembly hole in the floor (or access panel, if one exists) for evidence of what, if anything, is under there.