Objects A and B are at the origin. If object A moves to $(- 4, - 3)$ $(-4 ,-3 )$ and object B moves to $(5, 8)$ $(5 ,8 )$ over $8 s$ $8 s$ , 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 $(- 4, - 3)$ $(-4 ,-3 )$ and object B moves to $(5, 8)$ $(5 ,8 )$ over $8 s$ $8 s$ , 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 · 2017-09-21T05:56:56

The relative velocity is $= < \frac{9}{8}, \frac{11}{8} > m s^{- 1}$ $=<9/8, 11/8> ms^-1$

Explanation:

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The absolute velocity of $A$ $A$ is $v_{A} = \frac{1}{8} < - 4, - 3 > = < - \frac{1}{2}, - \frac{3}{8} > m s^{- 1}$ $v_A=1/8<-4,-3> = <-1/2,-3/8> ms^-1$

The absolute velocity of $B$ $B$ is $v_{B} = \frac{1}{8} < 5, 8 > = < \frac{5}{8}, 1 > m s^{- 1}$ $v_B=1/8 <5,8> = <5/8,1> ms^-1$

The relative velocity of $B$ $B$ with respect to $A$ $A$ is

$v_{B / A} = v_{B} - v_{A} = < \frac{5}{8}, 1 > - < - \frac{1}{2}, - \frac{3}{8} >$ $v_(B//A) =v_B-v_A= <5/8,1> - <-1/2,-3/8>$

$= < (\frac{5}{8} + \frac{1}{2}), (1 + \frac{3}{8}) >$ $= <(5/8+1/2), (1+3/8)>$

$= < \frac{9}{8}, \frac{11}{8} > m s^{- 1}$ $= <9/8, 11/8> ms^-1$

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Objects A and B are at the origin. If object A moves to $(- 4, - 3)$ $(-4 ,-3 )$ and object B moves to $(5, 8)$ $(5 ,8 )$ over $8 s$ $8 s$ , 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 (−4,−3)(-4 ,-3 ) and object B moves to (5,8)(5 ,8 ) over 8s8 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 $(- 4, - 3)$ $(-4 ,-3 )$ and object B moves to $(5, 8)$ $(5 ,8 )$ over $8 s$ $8 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.