Objects A and B are at the origin. If object A moves to $(-3 ,-8 )$ 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.

Question

1613 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-17T06:08:29

The relative velocity is $=<1/2, 7/8>$

enter image source here

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

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

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

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

$= <1/2, 7/8>$

Objects A and B are at the origin. If object A moves to (-3 ,-8 )(-3 ,-8 ) 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.