When I did my PPL I had several problems which combined to give me an excellent illustration of the problems of excessive approach speed on the taperwing PA-28.
1. The flying school was wedded to the idea of 80 knots round the final turn and on an early lesson I was told "70 knots on final, reducing to 65 over the threshold"
2. I was a former glider pilot, and had learned to fly in a glider-like way on windy hilltops, where you accelerate rather than slow down to your approach speed, and you aim to hold that speed all the way down final, rounding out only at the very last moment. So once I was trimmed and stable in the approach at 70 knots, it was against all my ingrained instincts to slow down deliberately just at the point where I was subconsciously expecting the wind gradient to take away half my speed anyway
3. A nice sporting downhill runway...
4. No recognition or teaching at all of the very important point that stall speeds vary with weight.
We had one particular Warrior that was a real paper bag, very little equipment, light as a feather, and lovely to fly, and this bird was my personal swallow. For ages as a solo student I was landing safely enough but well down the runway and floating a long way, even with full flap. I was sure the speeds were excessive based on 1.3vs, remember I'd been told 65 KIAS "threshold", when actually it's 63KIAS at max gross for final according to the POH. One up with part fuel in that particular aeroplane, and 55 would have been safe in non-gusty conditions, with 50 over the fence. Tackled an instructor about it and gained the impression that, yes, I was floating beacuase I was going much faster than he would personally have done at that stage of flight, and thenext week when I asked him to demo one for me" just to remind me how it looks when an expert does it" he used near enough those speeds, and a very pretty landing with a 200 metre roll. But he would not utter any numbers other than the 80 / 70 / 65 that were written on the "official" club numbers sheet for the type. So in the end I adopted a technique of "do as I do, not as I say" and have not had any trouble with a PA-28 floating again, nor that dreadful feeling that the wheels aren't touching the ground properly after landing. It feels so much better when you drop he last inch at the lowest possible speed with the aeroplane feeling quite exhausted, it lands so easily, so slowly and so short.