8. Show that space contraction can be derived by assuming that an observer in frame S measures the time interval between the passing of his origin by the two ends of a metre stick in frame S'. The length in frame S is obtained by multiplying this time by v. 9. Show that time dilation can be derived by measuring the distance in frame S between two events occurring at the origin of frame S' and dividing this distance by v to get the time interval in frame S.