Objects A and B are at the origin. If object A moves to $(9, - 7)$ $(9 ,-7 )$ and object B moves to $(- 8, 6)$ $(-8 ,6 )$ 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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Objects A and B are at the origin. If object A moves to $(9, - 7)$ $(9 ,-7 )$ and object B moves to $(- 8, 6)$ $(-8 ,6 )$ 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 · 2016-03-19T12:19:35

$v_{AB} = 7, 1 \frac{m}{s}$ $v_"AB"=7,1" "m/s$
$α = 143^{o} from east$ $alpha=143 ^o " from east"$

Explanation:

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$Delta s=sqrt(17^2+13^2)" "Delta s=sqrt(289+169)$
$Delta s=21,4 " "m$
$v_"AB"=(Delta s)/(Delta t)$
$v_"AB"=(21,4)/3$
$v_"AB"=7,1" "m/s$
$tan (180-alpha)=13/17=37 ^o$
$alpha=180-37$
$alpha=143 ^o " from east"$

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Objects A and B are at the origin. If object A moves to $(9, - 7)$ $(9 ,-7 )$ and object B moves to $(- 8, 6)$ $(-8 ,6 )$ 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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Objects A and B are at the origin. If object A moves to $(9, - 7)$ $(9 ,-7 )$ and object B moves to $(- 8, 6)$ $(-8 ,6 )$ 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.