Objects A and B are at the origin. If object A moves to $(-4 ,-9 )$ and object B moves to $(1 ,-1 )$ 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 · 2017-11-18T09:59:46

The relative veocity is $= <17/8, 1> ms^-1$

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The absolute velocity of $A$ is $v_A= 1/8<-4,-9> = <-2, -9/8> ms^-1$

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

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

$v_(B//A)=v_B-v_A = <1/8, -1/8> - <-2, -9/8>$

$= <1/8+2, -1/8+9/8 >$

$= <17/8, 1> ms^-1$

Objects A and B are at the origin. If object A moves to (-4 ,-9 )(-4 ,-9 ) and object B moves to (1 ,-1 )(1 ,-1 ) 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.