Stars a and b float essentially at rest 500 light-years apart in an inertial frame we take as the home frame. suppose star a (whose position is xao in the home frame) explodes at time ta = 0 and that star b (located on the positive x axis of the home frame) explodes at time to = 400y, both times measured in the home frame a spaceship is traveling along the home-frame x axis at constant speed vin the positive x direction and passes star a just as it explodes. is there a speed vfor which the explosions are simultaneous in the ship's frame? if so, what is that speed? your answer should include a home-frame spacetime diagram with the explosion events clearly labeled.