At the time t = 0 a light signal is sent from the origin of frame K to the point x = 3 m, y = 7 m, and z = 9 m, frame K' is coincident with frame K at the time t = t' = 0 and is moving along the x-axis of frame K in the positive direction at a speed of v = 0.9c. Determine the following. (a) time (in s) at which the signal is received in frame K 0.0000000393 S (b) the coordinates (in m) for the position (x', y', and z' in m) in frame K x' = -9.35 y' = How can you use the position transform to determine the coordinates of the end point according to an observer in frame K'? m 7 z' = 9 m m A (c) the time (in s) it took the light signal to reach the specified point according to an observer in frame K', using the results of part (b) t' = 27 How is the distance the light is to travel related to the speed of light and the time of travel? How is the distance the light is to travel related to the coordinates of the initial and final position? s (d) the time (in s) at which an observer in frame K' says the signal arrived at the specified point, using the time transform t'= 0.0000000651 X How can you use the time transform to determine the time for light to travel to the specified location according to an observer in frame K'. s