It sounds like the alternator is not charging.
Yes, the battery starts the engine, and as long as the battery is fully charged the engine will start. The battery will loose it's charge if the alternator is defective and not replenishing the charge of the battery but the alternator has nothing to do with starting the engine.
Try an auto parts store, sometimes they will check your alternator and battery for free.
When you recharge the battery and start the automobile the computer will set itself back to (ROM) read only memores. SOMETIMES you do need to drive a few miles for the computer can relearn itself.
You could only drive as long as there was charge in the battery. If you needed a jump to start the car the battery would be pretty low. With nothing else on, no lights, radio, AC, just keeping the motor running, you could maybe drive 2 miles. Depends on motor, number of cylinders, injected or carb. and how good the battery is.
i have fordt taurus1999 aftr i drive 10 miles engien die and start after 20 minuts
4,300
Almost any auto battery will start the engine if it is runnging good. But I would buy at least a 500cca battery.
You should never drive a car around for long after jump starting a dead battery. This puts an enormous strain on the alternator. Alternators are designed to keep a good battery charged, not to charge a dead battery. You can easily burn out a diode in the alternator. Jump start the engine and drive it somewhere and connect a battery charger to the battery and charge it fully.
Could be starter drive or weak battery you should check out the battery first
If your battery is dead then you are going nowhere therefore why would you need to take the car out of park? Get a jump start from another car with a good battery and then you can start your car and drive to the nearest battery dealer and buy a new battery if need be. Otherwise just put a battery charger on your battery and let it fully charge.
When your car is running, it runs off of the alternator. The alternator charges the battery while the engine is running, unless it is faulty and not outputting any or enough voltage, usually 14.4 volts DC. When you go to start your car it uses battery power. That's why you can jump start a car with a dead battery and drive it.
Assuming the battery was disconnected during the process, you need to drive it. It may take a 100 miles or more and several cold start-up drive cycles with some city and highway miles. The fuel level in the fuel tank should also be kept between 1/4 and 3/4 full.