Objects A and B are at the origin. If object A moves to $(3, 6)$ $(3 ,6 )$ and object B moves to $(1, - 4)$ $(1 ,-4 )$ over $1 s$ $1 s$ , 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 · 2017-09-28T05:10:10

The relative velocity is $= = < - 2, - 10 > m s^{- 1}$ $== <-2, -10> ms^-1$

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The absolute velocity of $A$ $A$ is $v_{A} = \frac{1}{1} < 3, 6 > = < 3, 6 > m s^{- 1}$ $v_A=1/1<3,6> = <3,6> ms^-1$

The absolute velocity of $B$ $B$ is $v_{B} = \frac{1}{1} < 1, - 4 > = < 1, - 4 > m s^{- 1}$ $v_B=1/1<1,-4> = <1,-4> ms^-1$

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

$v_{B / A} = v_{B} - v_{A} = < 1, - 4 > - < 3, 6 >$ $v_(B//A) =v_B-v_A= <1,-4> - <3,6>$

$= < (1 - 3), (- 4 - 6) >$ $= <(1-3), (-4-6)>$

$= < - 2, - 10 > m s^{- 1}$ $= <-2, -10> ms^-1$

Objects A and B are at the origin. If object A moves to (3,6)(3 ,6 ) and object B moves to (1,−4)(1 ,-4 ) over 1s1 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.