Most Likely Causes:
* Crankshaft Position Sensor (CKP Sensor): This sensor tells the computer the position of the crankshaft, crucial for ignition timing. A failing CKP sensor can cause the engine to crank but not start, especially if it's intermittent. Heat can exacerbate a failing sensor, so it might work fine initially, then fail after the engine has warmed up.
* Cam Position Sensor (CMP Sensor): Similar to the CKP sensor, a faulty CMP sensor will prevent the engine from starting. It's less common than a CKP failure but should still be considered.
* Ignition Switch: The ignition switch could be failing intermittently, providing power only sometimes. This is more likely if you hear a clicking sound when you turn the key.
* Fuel Pump Relay: The fuel pump relay might be overheating or failing intermittently, cutting power to the fuel pump. Check this relay's contacts for signs of burning or damage.
* Fuel Pump: While less likely to be intermittent, a failing fuel pump could struggle to deliver sufficient fuel after the engine has run for a while and warmed up. Listen for the whine of the fuel pump when you turn the key to the "on" position (before cranking). If you don't hear it, that's a strong indicator.
Less Likely, but Still Possible Causes:
* Battery/Alternator: A weak battery or alternator might not be able to provide enough power after the initial start. Test the battery voltage and check the alternator's charging output.
* Distributor (if equipped): Older cars might have a distributor. Issues with the distributor cap, rotor, or ignition coil could cause intermittent starting problems.
* Wiring Issues: Loose, corroded, or damaged wiring in the ignition system or fuel system can cause intermittent failures. Inspect the wiring harness carefully, particularly near connectors.
* ECU (Engine Control Unit): A failing ECU is a less common but possible cause of intermittent starting problems. This is generally a more difficult and expensive repair.
Troubleshooting Steps:
1. Check the obvious: Battery terminals for corrosion, sufficient fuel in the tank.
2. Listen for the fuel pump: Turn the key to the "on" position (without cranking) and listen for the fuel pump's whine.
3. Check the engine's OBD port (if equipped): A code reader can help diagnose potential issues.
4. Check the CKP and CMP sensors: These are relatively easy to check for continuity and resistance using a multimeter. Consult a repair manual for your specific vehicle.
5. Inspect relays: Visually inspect the fuel pump relay and other relevant relays for signs of damage.
6. Test the ignition switch: This requires more specialized testing equipment or a replacement for definitive diagnosis.
Recommendation: Start with the most likely causes (CKP, CMP sensors, fuel pump relay) and check them systematically. If you're not comfortable working on your car's electrical system, it's best to take it to a mechanic for diagnosis and repair. Trying to troubleshoot electrical issues without the right knowledge and tools can be dangerous.