I'm fairly new to the concepts provided by special and general relativity, and was wondering if someone could provide an answer to a thought exercise I came across regarding time dilation on an object going near light speed. Say a spaceship were connected by a live video feed to a monitor on Earth, and the feed was being monitored at both ends. The spaceship then accelerates to near light speed away from Earth, which in my understanding would slow the passage of time on board the ship in relation to time passing on Earth. So my question is what would the video show? Would time actually appear to be moving slower from a person on Earth's view of the video feed, would it appear to be moving faster from someone onboard the ship? Or have I misunderstood the concept?