Learn Hardcore Russian: Я ищу информацию в интернете для своего проекта. - I search for information on the internet for my project.

Информацию serves as the direct object of the verb ищу. In Russian, the direct object of a transitive verb is typically in the Accusative case, which is why информацию appears in that form (feminine singular Accusative).

Why is the phrase в интернете used, and what case does it illustrate?

The phrase в интернете indicates where the action is taking place. Although English uses "on the internet," Russian idiomatically expresses it as в интернете. Here, the preposition в requires the noun to be in the Prepositional case when indicating location, so интернет becomes интернете.

Can you explain the phrase для своего проекта and why the reflexive possessive своего is used instead of моего?

Для своего проекта means "for my project." In Russian, the reflexive possessive pronoun свой is used when the possessor is the subject of the sentence. Since Я (I) is both the subject and the owner of the project, свой (in its correct form своего to agree in gender, number, and case with проекта) is used instead of мой.

Why is проект changed to проекта in this sentence?

The preposition для requires the following noun to be in the Genitive case. Thus, проект changes to проекта (masculine singular Genitive) to meet this grammatical requirement.

What can you tell me about the verb ищу in this context?

Ищу is the first-person singular present tense form of the verb искать ("to search" or "to look for"). It directly links the subject Я to the object информацию, indicating that the speaker is currently engaged in the act of searching.