Consider two events in inertial Frame S. Where these events have Cartesian Coordinates (t, x, y, z). Event A has Cartesian coordinates xA = (-3, -3 , 0, 0) and Event B has Cartesian coordinates xB = (1, 3, 0, 0). Frame S' is moving in the negative x-direction with speed v = 0.8 (Note that we're using c =1 units here). In Frame S' event A has coordinates (-9, -9, 0, 0) and event B has coordinates (5.66, 6.33, 0, 0). a) According to Alice, who's moving with constant speed along the x-direction of Frame S, events A and B occur at the same time. What's Alice's velocity and 4-velocity in Frame S? What's Alice's velocity and 4-velocity in Frame S'?
Consider two events in inertial Frame S. Where these events have Cartesian Coordinates (t, x, y, z). Event A has Cartesian coordinates xA = (-3, -3 , 0, 0) and Event B has Cartesian coordinates xB = (1, 3, 0, 0). Frame S' is moving in the negative x-direction with speed v = 0.8 (Note that we're using c =1 units here). In Frame S' event A has coordinates (-9, -9, 0, 0) and event B has coordinates (5.66, 6.33, 0, 0). a) According to Alice, who's moving with constant speed along the x-direction of Frame S, events A and B occur at the same time. What's Alice's velocity and 4-velocity in Frame S? What's Alice's velocity and 4-velocity in Frame S'?
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Consider two events in inertial Frame S. Where these events have Cartesian Coordinates (t, x, y, z). Event A has Cartesian coordinates xA = (-3, -3 , 0, 0) and Event B has Cartesian coordinates xB = (1, 3, 0, 0). Frame S' is moving in the negative x-direction with speed v = 0.8 (Note that we're using c =1 units here). In Frame S' event A has coordinates (-9, -9, 0, 0) and event B has coordinates (5.66, 6.33, 0, 0).
a) According to Alice, who's moving with constant speed along the x-direction of Frame S, events A and B occur at the same time. What's Alice's velocity and 4-velocity in Frame S? What's Alice's velocity and 4-velocity in Frame S'?
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