Question
A spaceship approachin Earth at a speed c/2, shoots a canister at a speed of 0.80c. Calculate the velocity of the canister for an observer on Earth if (i) the canister if it is shot directly toward Earth and (ii) if it is shot directly away from Earth.
Answer :
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We use the relativistic velocity addition formula: [ u = \frac{u' + v}{1 + \frac{u'v}{c^2}} ] where (u') is the velocity of the canister relative to the spaceship, (v) is the velocity of the spaceship
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