Auf der Videoaufnahme sieht man den Einbrecher deutlich.

German often puts something other than the subject in the first position to set the scene or emphasize context.

Here, Auf der Videoaufnahme means something like in the video recording / on the recording, so it tells you first where the action is visible.

The important grammar rule is:

• In a normal main clause, the finite verb must be in second position.
• If a time/place phrase comes first, the subject usually comes after the verb.

So the structure is:

• Auf der Videoaufnahme = first position
• sieht = second position
• man = subject, after the verb

A more basic word order would be:

• Man sieht den Einbrecher deutlich auf der Videoaufnahme.

That is also possible, but it sounds less natural in this context.

Because auf can take either the dative or the accusative, depending on meaning.

With two-way prepositions like auf, the usual rule is:

• dative = location, position, where?
• accusative = direction, movement toward something, where to?

In this sentence, the meaning is on/in the video recording as a location, not movement toward it. So German uses the dative:

• auf der Videoaufnahme

Compare:

• auf der Videoaufnahme = on/in the recording
• auf die Videoaufnahme = onto the recording / toward the recording

Also, die Videoaufnahme is feminine, so the dative form is der.

Right. German man does not mean adult male person.

In German, man is an indefinite pronoun meaning:

• one
• you
• people
• they in a general sense

So sieht man means something like:

• one sees
• you can see
• people can see

In natural English, this sentence is often translated with you can see or simply a passive-style meaning, even though the German sentence itself is not passive.

Examples:

• In Deutschland isst man viel Brot. = People eat a lot of bread in Germany.
• Hier darf man nicht rauchen. = You must not smoke here.

Because Einbrecher is the direct object of sehen, and sehen takes the accusative case.

The verb is:

• jdn. sehen = to see someone

Since Einbrecher is masculine (der Einbrecher), its accusative form is:

• nominative: der Einbrecher
• accusative: den Einbrecher

So:

• man = subject
• sieht = verb
• den Einbrecher = direct object

If the noun were feminine or neuter, the article would look different:

• die Frau → die Frau
• das Kind → das Kind

But masculine changes from der to den in the accusative.

Deutlich is an adverb here, meaning clearly.

German often puts adverbs like this later in the sentence, especially after the object. That makes the sentence sound natural:

• Auf der Videoaufnahme sieht man den Einbrecher deutlich.

This placement highlights the fact that the burglar can be seen clearly.

Other positions are sometimes possible, but they may sound more marked or less natural:

• Auf der Videoaufnahme sieht man deutlich den Einbrecher.
  This is possible, but it tends to put more focus on den Einbrecher.
• Deutlich sieht man auf der Videoaufnahme den Einbrecher.
  Grammatically possible, but more literary or emphatic.

So the given version is a very normal, neutral word order.

Not exactly, though in many contexts they overlap.

• das Video = the video
• die Aufnahme = recording
• die Videoaufnahme = video recording

Videoaufnahme sounds a bit more precise or formal. It emphasizes that this is a recorded image, not just a general video clip.

In everyday German, people might also say:

• Im Video sieht man den Einbrecher deutlich.
• Auf dem Video sieht man den Einbrecher deutlich.

Those are common too, especially in spoken language.
But auf der Videoaufnahme sounds slightly more formal, factual, or report-like.

Because German main clauses follow the verb-second rule.

If the subject comes first, then you get:

• Man sieht den Einbrecher deutlich auf der Videoaufnahme.

But if another element comes first, then the verb must still stay second:

• Auf der Videoaufnahme = first element
• sieht = second element
• man = after the verb

So sieht man happens because the sentence does not begin with the subject.

This is one of the most important German word-order patterns:

• Der Mann kommt heute.
• Heute kommt der Mann.
• Im Haus steht ein Tisch.

The verb stays second, even when the subject moves.

Yes, that is often a very natural English translation.

But grammatically, the German sentence is not passive. It is an active sentence with the indefinite pronoun man.

So German says literally:

• On the video recording, one sees the burglar clearly.

Natural English often prefers:

• The burglar can clearly be seen in the video recording.
• You can clearly see the burglar in the video recording.
• The burglar is clearly visible in the video recording.

So if your translation uses passive in English, that is fine—but it is good to remember that the German structure itself is still active.

Yes. Einbrecher means burglar or break-in thief.

It comes from the verb einbrechen, which can mean:

• to break in
• or in other contexts, to collapse / cave in

As a person noun:

• der Einbrecher = male burglar / burglar (generic masculine form)

The plural is:

• die Einbrecher

A useful thing to notice is that many German person nouns ending in -er have the same form in singular and plural:

• der Lehrer / die Lehrer
• der Fahrer / die Fahrer
• der Einbrecher / die Einbrecher

Only the article changes.