Objects A and B are at the origin. If object A moves to $(5, - 1)$ $(5, -1)$ and object B moves to $(- 7, 8)$ $(-7, 8)$ over $3$ $3$ $s$ $s$ , 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 $(5, - 1)$ $(5, -1)$ and object B moves to $(- 7, 8)$ $(-7, 8)$ over $3$ $3$ $s$ $s$ , 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 · 2016-03-09T19:08:31

This one seems tougher than it really is. The two objects start together at a separation of $0$ $0$ $m$ $m$ , and end at a separation of $r = 15$ $r=15$ $m$ $m$ , $3$ $3$ $s$ $s$ later. That means the relative velocity, $v=(Delta d)/(Delta t)=15/3=5$ $ms^-1$ .

Explanation:

To find the distance between the final positions of the objects:

$r=sqrt((x_2-x_1)^2+(y_2-y_1)^2)=sqrt((-7-5)^2+(8-(-1))^2)=sqrt(144+81)=15$ $m$

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Objects A and B are at the origin. If object A moves to $(5, - 1)$ $(5, -1)$ and object B moves to $(- 7, 8)$ $(-7, 8)$ over $3$ $3$ $s$ $s$ , 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 (5, -1)(5,−1)(5, -1) and object B moves to (-7, 8)(−7,8)(-7, 8) over 333 sss, 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 $(5, - 1)$ $(5, -1)$ and object B moves to $(- 7, 8)$ $(-7, 8)$ over $3$ $3$ $s$ $s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.