The spaceship Lilac, based on the Purple Planet, is 759 m 759 m long, as measured at rest. When Lilac passes Earth, observers there measure its length to be 688 m 688 m . At what fraction of the speed of light is Lilac moving with respect to Earth?

Two students, each riding bicycles, start from the same apartment building and ride to the same building on campus, but each takes a different route. the first student rides 1100 m due east and then turns due north and travels another 1430 m before arriving at the destination. the second student heads due north for 1930 m and then turns and heads directly toward the destination.at the turning point, how far is the second student from the destination?