1- A moving rod is observed to have a length ofl=5 mand to be oriented at an angle of=45with respect to the direction of motion as shown. The rod has a speed of0.9c.

What is theproper lengthof the rod? [3 Marks]

What is theorientation anglein the proper frame? [3 Marks]

An enemy spacecraft moves away from the Earth at a speed ofv=0.75cwhile a galactic patrol spacecraft pursues at a speed ofu=0.9crelative to the Earth. Observers on the Earth measure the patrol craft to be overtaking the enemy craft at a relative speed of0.15c. With what speed is the patrol craft overtaking the enemy craft as measured by the patrol craft's crew?