A spacecraft that moves away from the earth with a speed of 0.800c and fires a space probe in the...

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A spacecraft that moves away from the earth with a speed of 0.800c and fires a space probe in the direction of its movement with a speed of 0.650c. What is the velocity of the probe relative to the earth? B) an exploratory ship attempts to reach the spacecraft traveling at 0.850c relative to the earth. What is the speed of the exploring ship with respect to the spacecraft?

David · Accepted Answer

A) the speed of the probe relative to the spacecraft is v'=0.650c then:
B) we know the exploratory craft's speed v=0.850c , then
Note that if we use galilean transformations the result would've been 
V'=0.650c+0.800c=1.450c 
Which is not possible since it's greater tha the speed of light

A spacecraft that moves away from the earth with a speed of 0.800c and fires a space probe in the direction of its movement with a speed of 0.650c. What is the velocity of the probe relative to the...

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