It highly depends what kind of product you are developing.
Where I work, about 30% of the workforce has a maths, physics or mechanics PHD but that is not the norm.
Very few computer programming actually require strong physics as this is often done by a third party toolkit you will be using...
In any case you will need strong logic skills which typically is tied to good maths skills ( if you are good at maths you are good at logic and vice versa..)
You will need good maths skills for algorithmic ( which will happen if you end up working on performances).
I do work in an area where maths is key but once again it is not the norm ( bsplines, knot vectors, pcurves, non manifold solids, anyone ?)