Driving is the word given to controlling a land vehicle, like a car, bus or even a horse-drawn vehicle. To drive something you need to know how to start and stop it, how to steer it, and of course you need to know the road rules to be able to safely drive.
Something droops if it bends over and down. Things might droop because they are tired or unsupported. Some plants and flowers naturally have a drooping growth pattern.
You drop something when you let it fall down by itself. The students in the picture are dropping something out of a high window as an experiment.
A drop is also a small globule of liquid, such as a raindrop.