A ship travels with velocity given by 12, with current flowing in the direction given by 11 with respect to some co-ordinate axes.
What is the velocity of the ship in the direction of the current?

Respuesta :

Answer:

[tex]v_x = 11.78 m/s[/tex]

Explanation:

Velocity of the ship is given as

[tex]v = 12 units[/tex]

the direction of the velocity of the ship is making an angle of 11 degree with the current

so we will have two components of the velocity

1) along the direction of the current

2) perpendicular to the direction of the current

so here we know that the component of the ship velocity along the direction of the current is given as

[tex]v_x = v cos\theta[/tex]

[tex]v_x = 12 cos11[/tex]

[tex]v_x = 11.78 m/s[/tex]