# What is the magnitude of the velocity of the boat relative to the shore? A river flows due North at 3.14 m/s. A boat crosses the river from the West shore to the East shore by maintaining a constant velocity of 7.2 m/s due East relative to the water.

A river flows due North at 3.14 m/s. A boat crosses the river from the West shore to the East shore and maintains a constant velocity of 7.2 m/s due East relative to the water.

The velocity of the boat relative to the shore is the sum of the velocity...

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A river flows due North at 3.14 m/s. A boat crosses the river from the West shore to the East shore and maintains a constant velocity of 7.2 m/s due East relative to the water.

The velocity of the boat relative to the shore is the sum of the velocity of the boat relative to the river and the that of the water relative to the shore. The former is 7.2 m/s due East and the latter is 3.14 m/s due North.

The magnitude of the velocity of the boat relative to the shore is sqrt(3.14^2 + 7.2^2) = 7.854 m/s

The direction at which the boat is moving relative to the shore is at an angle equal to arc tan(3.14/7.2) = 23.56 degrees North of East.

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