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.

f is prop to m1xm2 double m1 double force

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going   so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me