United States carrier in battle with Japanese torpedo planes as part of naval force off Marshall Islands in World War II

The video depicts a naval battle where the navy is under attack by Japanese torpedo planes. It showcases the navy's marksmanship and combat footage, highlighting the crewmen's efforts to avoid tracer fire. The carrier eventually escapes danger, with the last enemy plane still smoking.

How did the navies demonstrate their marksmanship during the combat?

What does the phrase 'still smoking in the Caesar' imply about the situation?