Objects A and B are at the origin. If object A moves to $(-8 ,-2 )$ and object B moves to $(-5 ,-4 )$ 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 · 2016-03-04T12:35:35

Object B moves away from object A with a speed of $1.202$ $m/sec$ in a direction given by $-33.7^o$ relative to $x$ axis.

As object A moves to $(-8,-2)$ and object B moes to $(-5,-4)$ , the distance between them after $3$ seconds is

$sqrt((-5-(-8))^2+(-4-(-2))^2)$ i.e. $sqrt(3^2+(-2)^2)$ or

$sqrt(9+4)=sqrt13=3.606$

Hence object B moves away from object A with a speed of $3.606/3=1.202$ $m/sec$ .

Direction is given by $tan^-1((-4-(-2))/(-5-(-8)))=tan^-1(-2/3)=-33.7^o$ relative to $x$ axis

Objects A and B are at the origin. If object A moves to (-8 ,-2 )(-8 ,-2 ) and object B moves to (-5 ,-4 )(-5 ,-4 ) 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.