Bruce's speed when swimming in still water is 5 meters/second. He is swimming in a direction 25° east of north. The current is moving 3.5 meters/second at an angle of 60° west of south. Identify Bruce's vector, the current's vector, and the vector representing Bruce's actual motion.

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Mathematics

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3 October, 06:07

Bruce's speed when swimming in still water is 5 meters/second. He is swimming in a direction 25° east of north. The current is moving 3.5 meters/second at an angle of 60° west of south. Identify Bruce's vector, the current's vector, and the vector representing Bruce's actual motion.

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Keith Cruz · Answer 1

Refer to the diagram shown below.

Bruce's relative speed is 5 mph at 25° east of north.

The current flows at 3.5 mph at 60° west of south.

Add Bruce's velocity and the current velocity vectorially to obtain Bruce's actual velocity vector, V (shown in red color).