WHERE IS THE SMOKE COMING FROM ?
Smoke could be coming from the vents of your car for a number of reasons. You may have an internal car fire.
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Reverse has nothing to do with it, unless the smoke is coming from your differential. White smoke typically indicates you are burning oil somewhere.
The only thing that causes smoke in a car is something burning. Steam or vapor coming from the air conditioner can also look like smoke. More detail especially where the smoke seems to be coming from would be helpful. This sounds like something that needs immediate attention and you should not be driving the car if you cannot find the origin of the smoke.
you put too much oil in, it is burning the oil.
The car could be overheating or have a coolant leak.
Black smoke coming out of the exhaust of a car is usually due to oil being burned in the engine's cylinders. This can be caused by a worn piston ring or rings.
That smoke is steam. You have a leak in the radiator or a hose. Take it to a mechanic.
If you nicked the oil pan it could cause it to smoke from engine area. Is the smoke coming from the exhaust or engine bay? If exhaust, then I highly doubt it was caused by the curb incident.
White smoke coming from the engine can mean many different things. One such thing is that your car may have a blown head gasket or that oil is burning in the engine.
Car maintenance is very important for a smooth ride. When there is white smoke coming out of the exhaust, it is usually an indication of water in the engine.