Question

a ship is streaming towards east with a speed of 12m/s. A man runs across the desk at a speed of 5m/s in the direction at right angles to the direction of motion of the ship. What is the velocity of the man relative to ship.​

Answer 1

Velocity of ship wrt sea= 12i∧

velocity of women on deck= 5j∧

velocity of women relative to sea will be resultant of above two velocoties,

12i∧ + 5j∧

 magnitude is

square root (12 x12 + 5x5)

=√144+25

=√169

=13m/s

Hope it helps you!!!❤

Answer 2

Answer:

The speed of the ship towards east is 12 m/s .

The speed of the man in right angles is 5 m/s .

The velocity of the ship with respect to man will be :

$\sqrt{(12m/s)^2+(5m/s)^2}\\\\\rightarrow \sqrt{144m^2/s^2+25m^2/s^2}\\\\\rightarrow \sqrt{169m^2/s^2}\\\\\rightarrow 13m/s$

The velocity will be 13 m/s .

Explanation:

Here the geographical directions are mentioned .

We take east as the direction the ship is streaming towards .

The man runs with 5 m/s at the right angles .

Hence we must find the square root of the total sum of squares of the velocities to find the velocity of the man relative to ship .