Question

Objects A and B are at the origin. If object A moves to `(-2 ,8 )` and object B moves to `(-5 ,-6 )` over `4 s`, what is the relative velocity of object B from the perspective of object A?

Answer 1

`vec v_(AB)=sqrt 203/4( unit)/s`

Explanation:

`"displacement between two point is:"`
`Delta vec x=-5-(-2)=-3 " unit"`
`Delta vec y=-6-8=-14 " unit"`
`Delta vec s=sqrt((-3)^2+(-14)^2))`
`Delta vec s=sqrt (9+194)=sqrt 203`
`vec v_(AB)=(Delta vec s)/(Delta t)`
`vec v_(AB)=sqrt 203/4( unit)/s`