A motorboat whose speed in still water is 3.50 m/s must aim upstream at an angle

Question

A motorboat whose speed in still water is 3.50m/s must aim upstream at an angle of 18.8 degrees (with respect to a line perpendicular to the shore) in order to travel directly across the stream.

A] What is the speed of the current?

B] What is the resultant speed of the boat with respect to the shore?

Please give me answers with the appropriate units.

A motorboat whose speed in still water is 3.50m/s must aim upstream at an angle of 18.8 degrees (with respect to a line perpendicular to the shore) in order to travel directly across the stream. What is the speed of the current? What is the resultant speed of the boat with respect to the shore?

Explanation / Answer

A] speed of the current =3.5sin18.8 =1.128 m/s

B]e resultant speed of the boat with respect to the shore =sqrt(3.5^2-1.128^2) =3.31 m/s

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