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A river flows due East at 2.33 m/s. A boat crosses the river from the South shore to the North shore by maintaining a constant velocity of 9.76 m/s due North relative to the water. The river is 212 m wide. What is the velocity of the boat relative to shore? Answer in units of m/s.

Respuesta :

Answer:

V = 10.03 m/s

Explanation:

It is given that,

Velocity of the river, v₁ = 2.33 m/s

Velocity of the boat, v₂ = 9.76 m/s

Width of the river, d = 212 m

Let v is the velocity of the boat relative to the shore. It can be calculated using vector sum as :

[tex]v=\sqrt{v_1^2+v_2^2}[/tex]

[tex]v=\sqrt{2.33^2+9.76^2}[/tex]

v = 10.03 m/s

So, the velocity of the boat relative to shore is 10.03 m/s. Hence, this is the required solution.

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