This really mostly depends on what kind of car crash we are talking about...
Car crashes often happen faster than you can think and be very unexpected. The faster a car travels the faster the driver needs to react to a dangerous situation and at times the driver just doesn't have enough time to do anything so emotions can include: panic, fear, adrenaline release, sadness and depression (after a crash); in some extraneous cases the release of adrenaline prior to the crash can cause the crash itself, people with anger issues can have road rage or manic spells that lead to the crash itself.
The sorts of noises you will likely hear are: motor noise (revs), screaching tires (when breaks are applied), breaking glass, metal colliding, heavy breathing, heart beat., screams ( from victims/ bystanders), car horns; if you are going to write the short story from the perspective of a bystander than heavy breathing and verbal panic are probably the most common
Feelings: The feeling of 'G-forces' when a car rapidly accelerates or stops, pain in varying degrees, numbness, shock, stupper, accelerated heart beat, fear, cuts and bruises.
When I learned to drive (which I still am) I often imagined a car crash in ultra-slowmotion and think what I would do if the situation would occur. The idea of explicitly describing the event of a car crash in great detail and slow motion is interesting to me and the melancholy elements from the film 'Donnie Darko' enter my mind; describing what goes through the driver's, passanger's, victim's, bystander's, friend's, relative's head while exploring the impact of this occurance, the cause of it, the irony, the cynisicm and the intentions.