A traveller in a rocketship of legth 200m sets up a coordinate system S' with an origin O' anchored at the exact center of the rocket, and the x' axis along the rocket's length. At t' = 0 she ignites a flashbulb at O'. (a) What are the coordinates x'_front, x'_back, t'_front, t'_back for the arrival of the light to the front and back of the ship? (b) Outside of the ship, another observer measures the rocket travelling with a velocity of v = .3c with respect to him. In his coordinate system S (which is in standard configuration with S'), what are the spacetime coordinates of the same events, x_front, t_front, and x_back, t_back?

A traveller in a rocketship of legth 200m sets up a coordinate system S' with an origin O' anchored at the exact center of the rocket, and the x' axis along the rocket's length. At t' = 0 she ignites a flashbulb at O'. (a) What are the coordinates x'_front, x'_back, t'_front, t'_back for the arrival of the light to the front and back of the ship? (b) Outside of the ship, another observer measures the rocket travelling with a velocity of v = .3c with respect to him. In his coordinate system S (which is in standard configuration with S'), what are the spacetime coordinates of the same events, x_front, t_front, and x_back, t_back?