>>If you notice the water on your hood and reverse the car take note of the speed and rapid acceleration required to move the water.<<
Doesn't quite work that way. What's at issue here is not water lying static on the hood of the car but water which is getting into the ship from the outside of the vessel. Water pressure increases the deeper you go, and you can't really force something under lesser pressure into an area of greater pressure...at least not without a lot of mechanical help which just wasn't available.
What backing down might have accomplished would be to slow the rate of ingress into the ship since you wouldn't be forcing the bow headlong into the sea.
The catch?
Samuel Halpern and Adam Lang nailed it: You can't launch lifeboats while the ship is moving. The Titanic was well away from any really close point of landfall and there was no way the sinking could be stopped. In light of that, the options available could only range from bad to worse to downright unworkable. In this case, the least of the evils was to try and get as many people off the ship as possible before she went down and that's how they played it.
>>So do you guys have any ways the Titanic could have stayed afloat a little bit longer just enough till other ships arrived?<<
No. Not really. I have quite a bit of training in shipboard damage control thanks to the Navy which is pretty extensive at even it's most basic level. The problem here is that what I learned was passed on to me and all of my shipmates by way of combat experience aquired through two world wars, and we had resources provided to make the most of that which the officers and crew of the Titanic did not have!
They didn't have damage control lockers, shoring or plugging kits, and even if they had, they had no diving gear to get down to where the damage was. You can't plug it or patch it if you can't get to it. The most you can do is try to confine it as long as possible by way of the installed pumps that they had as well as any hoses that they could rig.