Question: a spaceship quotaquot is parked in space around a planet...
A spaceship "A" is parked in space around a planet. At time t = 0 another ship "B" enters the solar system through a wormhole 0.1 light years away, moving towards the planet at 0.3 c. Immediately at t = 0 ship "A" heads to intercept ship "B" at a speed of 0.4 c, as measured from the planet.
(a) According to the captain of ship "A", how far away is ship
"B" at time t = 0?
(b) According to the captain of ship "A", what is the speed at which ship "B" is approaching them? When does the captain predict they will intercept ship "B" according to the clock aboard ship "A"?
(c) Ship "A" scans ship "B". If the rest length of ship "B" is 500 meters, what does the scan report about the length of ship "B"?