# Objects A and B are at the origin. If object A moves to (6 ,-2 ) and object B moves to (2 ,9 ) over 5 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

Mar 3, 2016

${v}_{A B} = \frac{\sqrt{137}}{5} \frac{m}{s} \text{ velocity of B from the perspective of A(green vector).}$
$\text{distance between the point of A and B :}$
Delta s=sqrt( 11²+4^2) " " Delta s=sqrt(121+16)" "Delta s=sqrt137 m
${v}_{A B} = \frac{\sqrt{137}}{5} \frac{m}{s} \text{ velocity of B from the perspective of A(green vector).}$
$\text{the angle of perspective is shown in figure"(alpha)." } \tan \alpha = \frac{11}{4}$