Arocket and a space station are both moving freely in deep interstellar space. the rocket is moving at speed 4/5 in the x direction as measured in the station’s (home) coordinate system. the rocket (other) coordinate system is in standard orientation relative to the station’s. an object is moving freely. observers on board the rocket measure the particle’s position to be x′ = 5s at time ′ = 4s and to be x′ = 8s at time ′ = 9s. show your work as you answer the following questions. a) what is the object’s velocity measured in the rocket coordinate system? b) what is the object’s velocity measured in the station’s coordinate system?