Objects A and B are at the origin. If object A moves to $(5, - 3)$ $(5 ,-3 )$ and object B moves to $(9, 7)$ $(9 ,7 )$ over $3 s$ $3 s$ , 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 · 2016-04-16T20:34:55

$v = 3, 59 \frac{m}{s}$ $v=3,59 " "m/s$

$∠ = 68, 2^{o}$ $angle=68,2^o$

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$first; let's displacement of B from perspective of A:$ $"first; let's displacement of B from perspective of A:"$

$A B = \sqrt{{(9 - 5)}^{2} + {(7 + 3)}^{2}}$ $AB=sqrt((9-5)^2+(7+3)^2)$

$A B = \sqrt{4^{2} + 10^{2}}$ $AB=sqrt(4^2+10^2)$

$A B = \sqrt{116}$ $AB=sqrt(116)$

$A B = 10, 77 m$ $AB=10,77" m"$

$v = \frac{A B}{3}$ $v=(AB)/3$

$v = \frac{10, 77}{3}$ $v=(10,77)/3$

$v = 3, 59 \frac{m}{s}$ $v=3,59 " "m/s$

$∠ = 68, 2^{o}$ $angle=68,2^o$

Objects A and B are at the origin. If object A moves to (5,−3)(5 ,-3 ) and object B moves to (9,7)(9 ,7 ) over 3s3 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.