2. When travelling in space, a ship (length 1000m in its rest frame) passes an identical ship, which is at rest relative to Earth. The captain of the moving ship decides to measure the speed of her ship. She looks out of a window and uses her clock to measure the time between the moments when the head and the tail of the other ship pass. The result of the measurement is 1 μs. Calculate the speed of the “moving” ship relative to Earth. Attempted using both Lorentz transformations and time dilation/length contraction formulas. Tried to solve simultaneously but equation turned out to be ridiculously complex for an introductory physics course question.