Objects A and B are at the origin. If object A moves to $(- 3, - 8)$ $(-3 ,-8 )$ and object B moves to $(1, - 1)$ $(1 ,-1 )$ 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 $(- 3, - 8)$ $(-3 ,-8 )$ and object B moves to $(1, - 1)$ $(1 ,-1 )$ 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 · 2017-08-17T06:08:29

The relative velocity is $= < \frac{1}{2}, \frac{7}{8} >$ $=<1/2, 7/8>$

Explanation:

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The absolute velocity of $A$ $A$ is $v_{A} = \frac{1}{8} < - 3, - 8 > = < - \frac{3}{8}, - 1 >$ $v_A=1/8<-3,-8> = <-3/8,-1>$

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

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

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

$= < \frac{1}{2}, \frac{7}{8} >$ $= <1/2, 7/8>$

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Objects A and B are at the origin. If object A moves to $(- 3, - 8)$ $(-3 ,-8 )$ and object B moves to $(1, - 1)$ $(1 ,-1 )$ 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 (−3,−8)(-3 ,-8 ) and object B moves to (1,−1)(1 ,-1 ) 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 $(- 3, - 8)$ $(-3 ,-8 )$ and object B moves to $(1, - 1)$ $(1 ,-1 )$ 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.