In 1971, two scientists tested Einstein's theory of me daon by flying a Cesium atomic clock around the world in a commercial air liner, and comparing its measured time to the time measured by an identical atomic clock at rest on the earth. Suppose the relative velocity of the two clocks is v. Determine the difference between their measured times after a 24 hour flight around the world. Math hint: if c is a very small number then (1 e)'1'2 may be approximated by I + 5/2. DATA: v = 287 m/s; (in s)