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Problem 27 Easy Difficulty

A rocket moves with a velocity of 0.92 $c$ to the right with respect to a stationary observer $A$ . An observer $B$ moving relative to observer $A$ finds that the rocket is moving with a velocity of 0.95$c$ to the left. What is the velocity of observer $B$ relative to observer $A$ ? (Hint: Consider observer $B^{\prime}s$ velocity in the frame of reference of the rocket.)

Answer

$+0.998 c$

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Video Transcript

speed off, be with respect to is given by speed off observer Be with respect Observer A is equal to speed off observer be with respect to our rocket plus a speed off rocket with respectable observer a divided by one bliss speed off observer be with respect to rocket Plus, uh, sorry multiplied by its smart plus. All right, so we be our times speed off a rocket with respect to a divided by C Square. Now let's plug in the values, uh, when speed off observer be with respect to our is a 0.9 five times the speed of light. Bless, um speed off rocket with respect to a zero point 92 times the speed of light divided by one place the cedar 0.95 times the speed of light multiplied by 0.92 times the speed of light divided by C square And solving these of a lost year for observer, be with respect to observer eh is equal to a plus zero point nine mine eight times the speed of light

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