The magnetic force depends on `vecv` which depends on the inertial frame of reference. Does then the magnetic force differ from inertial frame to frame? Is it reasonable that the net acceleration has a different value in different frames of reference?

Explanation

Magnetic force on a charged particle, `vecF = q ( vecv xx vec B)" or " F = q vB sin theta` .
Thus, this magnetic force is velocity dependent. It differs from one inertial frame to another. The net acceleration arising due to magnetic force is independent from frame to frame for inertial frames of reference. Actually, both the electric and magnetic fields depend on frame of references but this discussion of non relativistic physics is out of the scope of syllabus.