# Answer to Question #25845 in Mechanics | Relativity for Rasna

Question #25845

A boat that can move 3.0 m/s in still water is on a river that is flowing 1.0m/s (S) . What is the velocity of the boat relative to the shore when the boat is heading south?

Expert's answer

Velocity-addition formula:

if a boat is moving relative to the water velocity v and water is on a river that is flowing with velocity u,

then the velocity of the boat relative to the shore equals the vector sum:

s = v + u

In our case river is flowing to the south and boat is heading south, therefore:

s = v + u

s = 1m/s + 3 m/s = 4 m/s

Answer: the velocity of the boat relative to the shore equals 4 m/s

if a boat is moving relative to the water velocity v and water is on a river that is flowing with velocity u,

then the velocity of the boat relative to the shore equals the vector sum:

s = v + u

In our case river is flowing to the south and boat is heading south, therefore:

s = v + u

s = 1m/s + 3 m/s = 4 m/s

Answer: the velocity of the boat relative to the shore equals 4 m/s

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