Two powerless rockets are on a collision course. The rockets are moving with speeds of 0.800 c and 0.600 c as measured by Liz, an Earth observer. Both rockets are 50.0 m in length as measured by Liz. Assume they are moving on the same axis.
(a) What are their respective proper lengths? (10 points)
(b) What is the length of each rocket as measured by an observer in the other rocket? (20 points) (Hint: Use Lorentz or Inverse Lorentz Transformation of Velocities)