Objects A and B are at the origin. If object A moves to $(- 5, - 1)$ $(-5 ,-1 )$ and object B moves to $(5, 3)$ $(5 ,3 )$ 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.

Question

Objects A and B are at the origin. If object A moves to $(- 5, - 1)$ $(-5 ,-1 )$ and object B moves to $(5, 3)$ $(5 ,3 )$ 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.

1 Answer

Impact of this question

1514 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-25T05:17:05

Velocity is $3.59$ $3.59$ m/s in the direction given by $θ = {21.8}^{o}$ $theta=21.8^o$

Explanation:

The movement of $B$ $B$ relative to $A$ $A$ is given by $((5 - (- 5)), (3 - (- 1))$ $((5-(-5)),(3-(-1))$ or $(10, 4)$ $(10,4)$ .

Converting $(10, 4)$ $(10,4)$ to polar coordinates $(r, θ)$ $(r,theta)$ , they are given by $r = \sqrt{10^{2} + 4^{2}}$ $r=sqrt(10^2+4^2)$ and $θ = {tan}^{- 1} (\frac{4}{10})$ $theta=tan^(-1)(4/10)$ i.e. $r = \sqrt{116}$ $r=sqrt(116)$ and $θ = {tan}^{- 1} 0.4$ $theta=tan^(-1)0.4$

i.e. $r = 10.77$ $r=10.77$ and $θ = {21.8}^{o}$ $theta=21.8^o$

As the distance is covered in $3$ $3$ seconds,

Velocity is $\frac{10.77}{3} = 3.59$ $10.77/3=3.59$ m/s in the direction given by $θ = {21.8}^{o}$ $theta=21.8^o$

Science

Math

Humanities

... and beyond

Objects A and B are at the origin. If object A moves to $(- 5, - 1)$ $(-5 ,-1 )$ and object B moves to $(5, 3)$ $(5 ,3 )$ 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.

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Objects A and B are at the origin. If object A moves to (-5 ,-1 )(−5,−1)(-5 ,-1 ) and object B moves to (5 ,3 )(5,3)(5 ,3 ) over 3 s3s3 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

1 Answer

Explanation:

Related questions

Impact of this question

Objects A and B are at the origin. If object A moves to $(- 5, - 1)$ $(-5 ,-1 )$ and object B moves to $(5, 3)$ $(5 ,3 )$ 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.