aman patel said:
i means the person who is watching us on ship is seen by us growing old quickly...
No, Aman. We'll see them growing up slowly. And they'll see us growing up..., slowly, too.
Time dilation works both ways.
Look at Janus answer "This means that the Earth observer won't see the spaceship come to a stop until 14x14= 196 hrs has passed on his own clock."
Both party will see the other party growing up slowly, but...
Once the ship stops, the ship will see the Earth grows at the same rate, but the Earth still see the ship grows up slowly.
Imagine this.
You move away from earth
You---------------------------------------->
Earth 10 lys.
------------------------------------------->You
Earth
There are 10 lys between you and earth. So you will see the Earth time late by 10 years (LATE, NOT SLOW), and the Earth will see your clock 10 years late.
Add to that, you'll see the Earth growing up slow, and the Earth will see the same. Now one knows who is moving. Motion is relative, right.
Now, suddenly YOU stop.
-------------------------------------------||You
Earth
You'll see the Earth is still 10 years late, but time dilation effect stops for you. You'll see the Earth clock runs normally. If you STOP, you will KNOW if you stop. Doppler will tell you.
What will the Earth see if YOU stop? As I say the Earth will see you late by 10 yrs, so does you will see Earth late by years.
Supposed when YOU stop, you also light a red beam, just as in the car. When will Earth see the red light? Ten years later, right. And during that time when Earth haven't seen the red light. Earth will still think that you are moving. That's why Earth will see your time go slow.
The Earth will see your time go slow for another 10 years.
You'll see Earth time go slow, 10 years earlier.
There's 10 years different. That's why for moving object time goes slower because of this.