Objects A and B are at the origin. If object A moves to $(5 ,-1 )$ and object B moves to $(-8 ,6 )$ over $3 s$ , 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 · 2016-06-08T20:16:12

$"the green vector represents relative velocity"$
$v_"AB"=4.92" "m/s$

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$"the relative displacement between Object A and B can be calculated using :"$

$Delta s=sqrt((B_x-A_x)^2+(B_y-A_y)^2)$

$"Where "B_x=-8" ; "A_x=5" ; "B_y=6" ; "A_y=-1$

$Delta s=sqrt((-8-5)^2+(6+1)^2)$

$Delta s=sqrt(169+49) " ; "Delta s=14.76" "m$

$"The relative velocity of B from the perspective of A is:"$

$v_"AB"=(Delta s)/("time")$

$v_"AB"=(14.76)/3$
$"the green vector represents relative velocity"$
$v_"AB"=4.92" "m/s$

Objects A and B are at the origin. If object A moves to (5 ,-1 )(5 ,-1 ) and object B moves to (-8 ,6 )(-8 ,6 ) over 3 s3 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.