A car is traveling along the 45˚ line in S (Fig. 12.25), at (ordinary) speed (a) Find...

A car is traveling along the 45˚ line in S (Fig. 12.25), at (ordinary) speed

(a) Find the components u_x and u_y of the (ordinary) velocity.

(b) Find the components η_x and η_y of the proper velocity.

(c) Find the zeroth component of the 4-velocity, η⁰.

System is moving in the x direction with (ordinary) speed relative to S. By using the appropriate transformation laws:

(d) Find the (ordinary) velocity components

(e) Find the proper velocity components

(f) As a consistency check, verify that