Adverbs with different forms

Some adverbs take two forms according to the sentence. Compare:

1. Stay close to me
2. Look at those instructions closely.

Adverbs following objects

We don't usually put an adverb in front of an object. We say, "She read the document carefully" and not, "She read carefully the document." But when the object is long, it goes better at the end.
She carefully read every single word of the document. (Notice the position of the adverb)

Adverbs must be used to say how somebody does something

1. Drive carefully (Not 'drive careful')
2. Susan plays the piano very well (Not 'plays very good' )

So adverbs can be used after most verbs:

1. Come quickly
2. Drive carefully
3. Cook well
4. Speak properly (Not 'Speak proper like what I do!?')
5. Drive quickly ('Drive quicker' is also correct as we don't have to state the thing we are comparing to )