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Question:

Why are small velocities additive but velocities that approach the speed of light are not?

Why are small velocities additive but velocities that approach the speed of light are not?

Answer:

Actually, no velocities are additive, but the error at lower velocities is too small to be noticed. In other words, the more complex equation (see below) applies for all speeds, and it the only completely correct formula. However, for normal speeds that we see every day, the error on using just S v+u is too small to see. relativistic speed addition S (v+u)/(1+vu/c²)
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