Objects A and B are at the origin. If object A moves to $(3, - 4)$ $(3 ,-4 )$ and object B moves to $(2, - 6)$ $(2 ,-6 )$ 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 $(3, - 4)$ $(3 ,-4 )$ and object B moves to $(2, - 6)$ $(2 ,-6 )$ 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 · 2016-03-21T19:30:47

$watch over the animation$ $"watch over the animation"$
$v_{AB} = \frac{\sqrt{5}}{4} unit/s$ $v_"AB"=sqrt5/4 " unit/s"$

Explanation:

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$displacement for the object of A and B:$ $"displacement for the object of A and B:"$
$Delta s=sqrt(2^2+1^2)$
$Delta s=sqrt5$
$v_"AB"=(Delta s)/(Delta t)$
$v_"AB"=sqrt5/4 " unit/s"$

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Objects A and B are at the origin. If object A moves to $(3, - 4)$ $(3 ,-4 )$ and object B moves to $(2, - 6)$ $(2 ,-6 )$ 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 (3 ,-4 )(3,−4)(3 ,-4 ) and object B moves to (2 ,-6 )(2,−6)(2 ,-6 ) over 4 s4s4 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 $(3, - 4)$ $(3 ,-4 )$ and object B moves to $(2, - 6)$ $(2 ,-6 )$ over $4 s$ $4 s$ , what is the relative velocity of object B from the perspective of object A?