A group of scientists discover a new, rare isotope and are able to store a small amount of it. They determine that the isotope is unstable and half of their sample will decay in 16.0 months . The scientists need a new laboratory to properly conduct measurements on the isotope. If laboratory is built before half the sample decays there will still be enough of the isotope available for experiments. However, it will take 24.0 months to build the new lab. Fortunately, the scientists can quickly start construction and they have access to a spaceship that can travel at speeds approaching the speed of light c = 3.00×108 m/s . If they place their sample of the isotope on the spaceship, at what speed umust it travel in order for the new laboratory to be completed on Earth by the time half of the isotope on the spaceship decays? Assume that it took one month for the scientists to actually start construction and launch the spaceship so half the sample will remain in 15.0 months but it will still take 24.0 months to build the new lab. At what speed u must the spaceship travel for the scientists to have enough time to complete their laboratory by the time half of the isotope has decayed?
Express your answer in meters per second.