Understanding Time Dilation and Velocity: Debunking Common Misconceptions

[Herman Trivilino]

Exactly. So if I am slowing down in time due to time dilation for observer, he will see my velocity slowing down.

I think you're mixing up the rate at which an object moves with the rate at which a clock ticks. You have a clock moving at a very high speed relative to an observer. The observer notices that the clock ticks slow (compared to a pair of well-separated clocks he has at rest relative to him) but that it moves with whatever that high speed was chosen to be. The fact that it ticks slow doesn't mean it moves slow.