check your parking brake or check the ring and pinion in the rear end
The backing. The other car has the right of way wether they saw you or not doesn't change that. If it was parked, that's even worse.
What kind of car is is? When it jerk while shutting off, do you turn the key off and it sits there chugging for a second before stopping?
Backing up while driving is putting your car in reverse with your foot on the brake and slowly letting your foot off the brake. If you are pulling out of a parking spot you might turn the wheel.
taje
the car backing up
That would be the car backing up because you can't see the other car coming at you and more than likely the other car wouldn't see you either.
If it only happens when backing up, you may have the parking brake engaged.
Take your time and watch where you are going.
check behind the car before getting in
it is the tranny mount
The car in motion is ALWAYS at fault when it hits a stationary vehicle.
Assuming that the car hit was stopped when the other car was backing up, the one backing will be at fault. If there is no damage, or if it is below a certain threshold it may not even count as a collision.