My car run great but won't start after sitting for a short time

What is your question?

I drive it everyday and it starts and runs great driving to and from point A-B . The problem happens if I turn the car off and it sits for 30 mins to an hour . If it starts , it runs horrible like it's starving for fuel and shuts off and won't start . The vehicle will turn over but won't catch?

What makes this problem better or worse?

Heat

How long has your 2010 Nissan 370Z had this problem?

2 months