Jutro rano czekam na przyjazd babci.

They do, but they add different pieces of information:

• jutro = tomorrow
• rano = in the morning / in the morning hours

So jutro rano means tomorrow morning.

This is a very natural Polish time expression. You can think of it as answering two questions at once:

• When? → jutro
• At what part of the day? → rano

Polish often uses the present tense for a planned or expected future situation, especially when the time is already clear from a word like jutro.

So Jutro rano czekam... can mean something like:

• Tomorrow morning I’m waiting...
• or more naturally in English, Tomorrow morning I’ll be waiting...

This is similar to English sentences like:

• Tomorrow I’m meeting Anna.

So the present form is not a mistake; it can sound natural when talking about arranged or expected future events.

Yes. That version is also correct.

There is a slight difference in feel:

• Jutro rano czekam na przyjazd babci = more concise, can sound like a plan or statement of intention
• Jutro rano będę czekać na przyjazd babci = more explicitly future, closer to I will be waiting

Both are grammatical. A learner will often find będę czekać easier to understand because it looks more obviously future.

Because the verb czekać normally combines with na when it means to wait for.

So:

• czekać na kogoś = to wait for someone
• czekać na coś = to wait for something

Examples:

• Czekam na autobus.
• Czekamy na Annę.
• Czekam na przyjazd babci.

This is just the standard pattern you need to learn with the verb.

After czekać na, the noun usually goes in the accusative.

So here:

• przyjazd is in the accusative singular
• for this masculine inanimate noun, the accusative looks the same as the nominative

That is why you see:

• na przyjazd

and not a different visible ending.

Both are possible, but they are structured differently.

• czekam na przyjazd babci = I’m waiting for grandma’s arrival
• czekam, aż babcia przyjedzie = I’m waiting until grandma arrives / for grandma to arrive

The version with przyjazd uses a noun: arrival.
The other version uses a whole clause: until grandma arrives.

The sentence you were given is slightly more compact and a bit more formal in style because it uses the noun przyjazd.

Because babci depends on przyjazd.

In Polish, przyjazd often takes the genitive to show whose arrival it is:

• przyjazd babci = grandma’s arrival / the arrival of grandma

So:

• babcia = nominative
• babci = genitive singular here

This is one of the most important things to notice in the sentence:

• na przyjazd → because of czekać na
• babci → because it means arrival of grandma

Yes, but it means something slightly different.

• Czekam na babcię = I’m waiting for grandma
• Czekam na przyjazd babci = I’m waiting for grandma’s arrival

The first one focuses on the person.
The second one focuses on the event of arriving.

In many situations they may be very close in meaning, but the second is more specific.

Here rano is an adverb meaning in the morning.

So you simply say:

• jutro rano
• dziś rano
• wczoraj rano

You do not need w in this expression.

Compare:

• rano = in the morning
• wieczorem = in the evening
• w nocy = at night / during the night

Time expressions in Polish are not always built the same way, so jutro rano is best learned as a whole phrase.

Yes. Polish word order is more flexible than English word order.

The neutral order here is:

• Jutro rano czekam na przyjazd babci.

But other orders are possible if you want to emphasize something:

• Na przyjazd babci czekam jutro rano.
• Babci czekam na przyjazd jutro rano. — grammatically possible in very marked contexts, but not the most natural choice
• Czekam jutro rano na przyjazd babci.

For a learner, the original sentence is the safest and most natural.

Because Polish has no articles like English a or the.

So Polish often leaves this information to context.

Also, babci by itself can mean:

• grandma’s
• the grandmother’s
• and in context often my grandma’s

If you want to make my explicit, you can say:

• Jutro rano czekam na przyjazd mojej babci.

That means Tomorrow morning I’m waiting for my grandma’s arrival.

In this sentence, yes, it is understood as genitive singular because of przyjazd babci.

But the form babci can also appear in other cases, such as:

• dative singular
• locative singular

So the form itself is not enough; you need the context.

Here the structure clearly tells you it is genitive:

• przyjazd kogo? czego? → babci

That is the normal Polish way to express someone’s arrival.