Objects A and B are at the origin. If object A moves to $(2, 3)$ $(2 ,3 )$ and object B moves to $(5, 8)$ $(5 ,8 )$ over $4 s$ $4 s$ , what is the relative velocity of object B from the perspective of object A?

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Objects A and B are at the origin. If object A moves to $(2, 3)$ $(2 ,3 )$ and object B moves to $(5, 8)$ $(5 ,8 )$ 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 · 2016-04-11T07:43:51

$v = \frac{6}{4} = 1, 5 unit/s$ $v=6/4=1,5" unit/s"$

$∠ = 59, 04^{o}$ $angle=59,04^o$

Explanation:

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$displacement of B from perspective of A:$ $"displacement of B from perspective of A:"$
$A B = \sqrt{{(5 - 2)}^{2} + (8 - 3^{2})}$ $AB=sqrt((5-2)^2+(8-3^2))$
$A B = \sqrt{3^{2} + 5^{2}} = \sqrt{9 + 25} = \sqrt{36}$ $AB=sqrt(3^2+5^2)=sqrt(9+25)=sqrt36$
$A B = 6 unit$ $AB=6" unit"$

$v = \frac{¯ ¯¯¯¯ ¯ A B}{t}$ $v=bar(AB)/t$

$v = \frac{6}{4} = 1, 5 unit/s$ $v=6/4=1,5" unit/s"$

$∠ = 59, 04^{o}$ $angle=59,04^o$

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Objects A and B are at the origin. If object A moves to $(2, 3)$ $(2 ,3 )$ and object B moves to $(5, 8)$ $(5 ,8 )$ over $4 s$ $4 s$ , what is the relative velocity of object B from the perspective of object A?

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Objects A and B are at the origin. If object A moves to (2,3)(2 ,3 ) and object B moves to (5,8)(5 ,8 ) over 4s4 s, what is the relative velocity of object B from the perspective of object A?

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Explanation:

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Objects A and B are at the origin. If object A moves to $(2, 3)$ $(2 ,3 )$ and object B moves to $(5, 8)$ $(5 ,8 )$ over $4 s$ $4 s$ , what is the relative velocity of object B from the perspective of object A?