Objects A and B are at the origin. If object A moves to $(-7 ,3 )$ and object B moves to $(-6 ,2 )$ 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.

Question

1451 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-09T05:28:10

Given
$A" moves from "(0,0)->(-7,3)$
So displacement of A during 3 s

$vecd_A=(-7hati+3hatj)m$

So velocity of A

$vecv_A=vecd_A/3=(-7/3hati+hatj)m/s$

$B" moves from "(0,0)->(-6,2)$

So displacement of B during 3 s

$vecd_B=(-6hati+2hatj)m$

So velocity of A

$vecv_B=vecd_A/3=-2hati+2/3hatj$

Then the relative velocity of object B from the perspective of object A
$vecv_B-vecv_A=(-6+7/3)hati+(2/3-1)hatj$
$=-(11/3hati+1/3hatj)m/s$

Objects A and B are at the origin. If object A moves to (-7 ,3 )(-7 ,3 ) and object B moves to (-6 ,2 )(-6 ,2 ) 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.