Objects A and B are at the origin. If object A moves to $(5, - 7)$ $(5 ,-7 )$ and object B moves to $(7, 4)$ $(7 ,4 )$ 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 · 2017-08-28T09:05:41

The relative velocity is $= < 1, - \frac{3}{2} > m s^{- 1}$ $= <1, -3/2 > ms^-1$

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The absolute velocity of $A$ $A$ is $v_{A} = \frac{1}{2} < 5, - 7 > = < \frac{5}{2}, - \frac{7}{2} >$ $v_A=1/2<5,-7> = <5/2, -7/2>$

The absolute velocity of $B$ $B$ is $v_{B} = \frac{1}{2} < 7, 4 > = < \frac{7}{2}, 2 >$ $v_B=1/2<7,4> = <7/2, 2>$

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

$v_{B / A} = v_{B} - v_{A} = < \frac{7}{2}, 2 > - < \frac{5}{2}, - \frac{7}{2} >$ $v_(B//A)=v_B-v_A=<7/2, 2> - <5/2, -7/2>$

$= < \frac{7}{2} - \frac{5}{2}, 2 - \frac{7}{2} >$ $= <7/2-5/2, 2-7/2>$

$= < 1, - \frac{3}{2} >$ $= <1, -3/2 >$

Objects A and B are at the origin. If object A moves to (5 ,-7 )(5,−7)(5 ,-7 ) and object B moves to (7 ,4 )(7,4)(7 ,4 ) over 2 s2s2 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.