Objects A and B are at the origin. If object A moves to $(8, 5)$ $(8 ,5 )$ and object B moves to $(9, - 2)$ $(9 ,-2 )$ over $2 s$ $2 s$ , 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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Objects A and B are at the origin. If object A moves to $(8, 5)$ $(8 ,5 )$ and object B moves to $(9, - 2)$ $(9 ,-2 )$ over $2 s$ $2 s$ , 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 · 2016-04-10T16:44:46

$the velocity of B from perspective of A : 3, 54 m/s$ $"the velocity of B from perspective of A : "3,54" m/s"$
$angle have shown as the gold color : 278, 13^{o}$ $"angle have shown as the gold color :"278,13^o$

Explanation:

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$displacement of B from perspective of A is:$ $"displacement of B from perspective of A is:"$
$A B = \sqrt{{(9 - 8)}^{2} + {(- 2 - 5)}^{2}}$ $AB=sqrt((9-8)^2+(-2-5)^2)$
$A B = \sqrt{1^{2} + {(- 7)}^{2}}$ $AB=sqrt(1^2+(-7)^2)$
$A B = \sqrt{1 + 49}$ $AB=sqrt(1+49)$
$A B = \sqrt{50}$ $AB=sqrt50$
$A B = 7, 07 m$ $AB=7,07 " m"$

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

$v = \frac{7, 07}{2}$ $v=(7,07)/2$

$v = 3, 54 m/s$ $v=3,54 " m/s"$

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Objects A and B are at the origin. If object A moves to $(8, 5)$ $(8 ,5 )$ and object B moves to $(9, - 2)$ $(9 ,-2 )$ over $2 s$ $2 s$ , 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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Objects A and B are at the origin. If object A moves to (8,5)(8 ,5 ) and object B moves to (9,−2)(9 ,-2 ) over 2s2 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

1 Answer

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Objects A and B are at the origin. If object A moves to $(8, 5)$ $(8 ,5 )$ and object B moves to $(9, - 2)$ $(9 ,-2 )$ over $2 s$ $2 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.