7-10 [55 points] A star trek police officer in a police space ship moving at a speed B1 = 0.6 gets a notice from a stationary space station of a speeding space ship in front of him 2 light years away. The space ship is moving at a speed B2 = 0.8. A light signal sent by the police officer is reflected by the eluding space ship and received back by the star trek police office. Call the space-time coordinates of the police officer when he sends the light-signal event A. Call event B when the light signal reaches the eluding space ship. And call event C when the police officer receives the reflected light signal. 7. [15 points] Draw a space-time diagram, mark all events and draw all world lines. 8. [10 points] What is the relative velocity of the eluding pilot with respect to the police space ship? 9. [15 points] Using the police radar detector, the police sends a light signal at a frequency vo measured in the frame of reference of the police car. What is the frequency of the light signal measured by the eluding pilot in the eluding space ship using his own detector of the signal? 10. [15 points] How far is the police officer from the position where he sent the light signal, when he receives the reflected signal back in his own frame of reference