Question

A ship moves along the equator to the east with velocity $v_0$. The south western wind blows at an angle $\theta ={60}^{\circ }$ to the equator with velocity $v_0$ . wind velocity $v_1$ relative to the ship is

• A. 3$v_0$
• B. $v_0$$\sqrt{2}$
• C. 2$v_0$$\sqrt{3}$
• D. $v_0$

Answer 1

The correct option is D $v_0$

$V_s$ : velocity of ship

$V_w$: velocity of wind(S-W wind means wind blow from S-W direction)

$V_s=v_o\overrightarrow{i}$

$V_w=v_o\left(\frac{\overrightarrow{i}+\sqrt{3}\overrightarrow{j}}{2}\right)$

${\overrightarrow{v}}_1={\overrightarrow{V}}_w-{\overrightarrow{V}}_s$

${\overrightarrow{v}}_1=v_o\left(\frac{-\overrightarrow{i}+\sqrt{3}\overrightarrow{j}}{2}\right)$

$v_1=v_o$