Could blow up the battery, probably burn out one of the main fuses or fuseable links, could mess up the computer or any part of the electrical system of either or both cars.
If by 'jumpstarting the car backwards,' you mean pushstarting the car (with manual transmission) in reverse, then no harm should be done. However, it is often more difficult to start a vehicle by pushstarting in reverse, so whenever possible try to start it in 2nd or 3rd gear forwards.
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There is the possibility the battery could blowup. You can damage the complete electrical system.
On the battery posts in the trunk.
if you put jumper cables on the wrong way you WILL kill the battery then if you leave them on you will cause the battery to overheat and swell then will u least expect it, it will blow up.. it will be a miniature hydrogen bomb
It will probably overheat. answer= thermostat will not open and will prevent the flow of coolant . which will in turn do damage to your engine
Probably. The alternator and voltage regulator may be fried, and the battery ruined. Take the battery to a battery shop and have them test it.
You have some serious problems. Hooking up a battery backwards plays hell with the electronics. If you really want to keep the car you will probably have to replace a lot if not all the electronic control devices that manage your engine.