Mario, a hockey player, is skating due south at a speed of 4.79 m/s relative to the ice. a teammate passes the puck to him. the puck has a speed of 9.13 m/s and is moving in a direction of 17.8 ° west of south, relative to the ice. what are (a) the magnitude and (b) direction (relative to due south) of the puck's velocity, as observed by mario

Mario's velocity vector relative to the ice is

(note that all velocities mentioned here are given in m/s)

The puck is moving in a direction of 17.8 degrees west of south, or 252.2 degrees counterclockwise relative to east. Its velocity vector relative to the ice is then

The velocity of the puch relative to Mario is

Then, relative to Mario,

a. the puck is traveling at a speed of , and

b. is moving in a direction such that

which is about west of south.