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If I were of speed 299 792 457 m/s relative to an observer and throw a ball, what would the observer see?
The observer would see the ball go very fast, with velocity ##v= \frac{u+w}{1+\frac{uw}{c^2}}## where ##u## and ##w## are yours and the ball's speed respectively.
Oops! Forgot to mention that.w is the speed at which you throw the ball relative to you