1. The problem statement, all variables and given/known data Plans are made to send a spaceship from Earth to a nearby star 10 light-years away and at rest with respect to Earth. The light support systems within the spacecraft will last for a year. (a) what is the minimum speed of the spacecraft relative to the Earth-star system if the crew is to survive the trip? (b) If time we mot dilated, what minimum speed would be necessary for the trip? 2. Relevant equations the time dilation equation 3. The attempt at a solution a)From an observer on Earth, the velocity of the ship is the rest length (10 ly) divided by the relativistic time corresponding to the 10 years of life support. v=L0/[itex]\gamma[/itex]T v=10 ly/[itex]\gamma[/itex]10y Solving, I get v=0.707c The back of the book (which has had two mistakes this chapter) says v=0.99c for part a. Is my initial equation in error? b) It looks to me like the answer is v=10 ly/y=c. The book's answer is 10c.