An interstellar probe is sent to the star Vega that is 25.3 light years away. It travels most of the distance at a speed of around 0.960 c, as calculated from the Earth.
(i) Determine how long does it take to get to Vega as viewed by the ground crew on Earth (avoid the light travel time – merely think in event time).
(ii) Determine how long would it take to reach the star as calculated by the clock on the spacecraft?
(iii) Determine the distance traveled according to the probe?
(iv) Based on (iii) determine the speed of the probe relative to the Earth?