Okay, well, a damn boatload of modders took it upon themselves to do this, but one of them stands out as being the most successful. One modder took it upon himself to correct the physics of the game. GTA 5's Driving Physics Revamped With Mod That said, players on PC had a way to get around this.
Even sticking to the franchise, we need not look further back than GTA 4 which also had but a passing relationship with reality in terms of physics.
Rare is the game indeed which doesn't mess up some aspect of physics. It's not like this issue is unique to GTA 5. GTA 5 is a pretty good example of this, with driving physics being an accurate depiction of some odd parallel dimension as opposed to our own reality. With all the experience, knowledge and money being pumped into AAA titles, developers still can't quite get it right. Physics has always been something difficult to accurately recreate in video games. You'll also be doing somersaults since you know what his name means when it comes to a GTA mod.
Those of you who have been around since the GTA 4 days, and were familiar with the modding scene, are bound to recognize the monicker 'Killatomate'.
