Inverse Lorentz velocity transformation (25-18)

Question 1 of 3

Question

Inertial frame of reference $S'$ moves at speed $V$ in the positive $x$ direction relative to inertial frame of reference $S$ .

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Question

$x$ component of velocity of the same object as measured in frame $S′$

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Question

$x$ component of velocity of an object moving along the $x$ axis as measured in frame $S$

{"title":"Inertial frame of reference S′ moves at speed V in the positive x direction relative to inertial frame of reference S.","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"224,3,259,44\"}]"} {"title":"x component of velocity of the same object as measured in frame S′","description":"Incorrect","type":"incorrect","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"246,106,269,132\"}]"} {"title":"x component of velocity of an object moving along the x axis as measured in frame S","description":"Correct!","type":"correct","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"1,48,24,72\"}]"}

Review

Equation 25-17 allows us to find the object’s velocity relative to frame $S'$ if we know its velocity relative to frame $S$ . If instead we know the object’s velocity relative to frame $S'$ and want to calculate its velocity relative to frame $S$ , we use the inverse Lorentz velocity transformation: