Objects A and B are at the origin. If object A moves to $(-4 ,-3 )$ and object B moves to $(5 ,8 )$ over $8 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

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Answer 1 · 2017-09-21T05:56:56

The relative velocity is $=<9/8, 11/8> ms^-1$

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The absolute velocity of $A$ is $v_A=1/8<-4,-3> = <-1/2,-3/8> ms^-1$

The absolute velocity of $B$ is $v_B=1/8 <5,8> = <5/8,1> ms^-1$

The relative velocity of $B$ with respect to $A$ is

$v_(B//A) =v_B-v_A= <5/8,1> - <-1/2,-3/8>$

$= <(5/8+1/2), (1+3/8)>$

$= <9/8, 11/8> ms^-1$

Objects A and B are at the origin. If object A moves to (-4 ,-3 )(-4 ,-3 ) and object B moves to (5 ,8 )(5 ,8 ) over 8 s8 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.