Question

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.

Answer 1

V = 10.03 m/s

Step-by-step 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 :

`v=√(v_1^2+v_2^2)`

`v=√(2.33^2+9.76^2)`

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.