1. Lit. to begin a journey by boarding a ship, airplane, etc.

1. They embarked on their journey from San Juan.

2. They embarked on their trip to America with high hopes.

2. Fig. to begin a project; to begin any process; to begin (something that will take a long time or happen for a long time)

1. When will you embark on your new project?

2. She's embarking on a new career.

3. The company has embarked upon a risky new project.