Objects A and B are at the origin. If object A moves to $(- 7, 3)$ $(-7 ,3 )$ and object B moves to $(- 6, 2)$ $(-6 ,2 )$ 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 $(- 7, 3)$ $(-7 ,3 )$ and object B moves to $(- 6, 2)$ $(-6 ,2 )$ 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 · 2016-08-09T05:28:10

Given
$A moves from (0, 0) \to (- 7, 3)$ $A" moves from "(0,0)->(-7,3)$
So displacement of A during 3 s

${\to d}_{A} = (- 7 ˆ i + 3 ˆ j) m$ $vecd_A=(-7hati+3hatj)m$

So velocity of A

${\to v}_{A} = \frac{{\to d}_{A}}{3} = (- \frac{7}{3} ˆ i + ˆ j) \frac{m}{s}$ $vecv_A=vecd_A/3=(-7/3hati+hatj)m/s$

$B moves from (0, 0) \to (- 6, 2)$ $B" moves from "(0,0)->(-6,2)$

So displacement of B during 3 s

${\to d}_{B} = (- 6 ˆ i + 2 ˆ j) m$ $vecd_B=(-6hati+2hatj)m$

So velocity of A

${\to v}_{B} = \frac{{\to d}_{A}}{3} = - 2 ˆ i + \frac{2}{3} ˆ j$ $vecv_B=vecd_A/3=-2hati+2/3hatj$

Then the relative velocity of object B from the perspective of object A
${\to v}_{B} - {\to v}_{A} = (- 6 + \frac{7}{3}) ˆ i + (\frac{2}{3} - 1) ˆ j$ $vecv_B-vecv_A=(-6+7/3)hati+(2/3-1)hatj$
$= - (\frac{11}{3} ˆ i + \frac{1}{3} ˆ j) \frac{m}{s}$ $=-(11/3hati+1/3hatj)m/s$

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Objects A and B are at the origin. If object A moves to $(- 7, 3)$ $(-7 ,3 )$ and object B moves to $(- 6, 2)$ $(-6 ,2 )$ 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 (−7,3)(-7 ,3 ) and object B moves to (−6,2)(-6 ,2 ) over 3s3 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 $(- 7, 3)$ $(-7 ,3 )$ and object B moves to $(- 6, 2)$ $(-6 ,2 )$ 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.