Objects A and B are at the origin. If object A moves to $(- 2, 8)$ $(-2 ,8 )$ and object B moves to $(3, - 3)$ $(3 ,-3 )$ over $4 s$ $4 s$ , what is the relative velocity of object B from the perspective of object A?

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Answer 1 · 2017-08-11T19:54:26

$(\frac{5}{4}, - \frac{11}{4})$ $(5/4,-11/4)$

B's position with respect to A, at the end of 4 s is

$(3, - 3) - (- 2, 8) = (5, - 11)$ $(3,-3) - (-2,8) = (5,-11)$

Since the initial relative position is $(0, 0)$ $(0,0)$ at $t = 0$ $t=0$ , we find the relative velocity of B with respect to A is

$\frac{1}{4} (5, - 11)$ $1/4 (5,-11)$

Objects A and B are at the origin. If object A moves to (-2 ,8 )(−2,8)(-2 ,8 ) and object B moves to (3 ,-3 )(3,−3)(3 ,-3 ) over 4 s4s4 s, what is the relative velocity of object B from the perspective of object A?