A light signal is sent from the origin of a system K at t = 0 to the point x = 3 m, y = 5 m, z = 10 m. (a) At what time t is the signal received? (b) Find (x', y', z', t' ) for the receipt of the signal in a frame K that is moving along the x axis of K at a speed of 0.8c. (c) From your results in (b) verify that the light traveled with a speed c as measured in the K frame.

A light signal is sent from the origin of a system K at t = 0 to the point x = 3 m, y = 5 m, z = 10 m. (a) At what time t is the signal received? (b) Find (x', y', z', t' ) for the receipt of the signal in a frame K that is moving along the x axis of K at a speed of 0.8c. (c) From your results in (b) verify that the light traveled with a speed c as measured in the K frame.