Question

Objects A and B are at the origin. If object A moves to `(-6 ,-3 )` and object B moves to `(-5 ,-4 )` over `3 s`, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

Answer 1

The relative velocity is `=<1/3, -1/3>ms^-1`

Explanation:

The absolute velocity of `A` is

`v_A=1/3<-6,-3> = <-2,-1>`

The absolute velocity of `B` is

`v_B=1/3<-5,-4> = <-5/3,-4/3>`

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

`v_(B//A)=v_B-v_A= <-5/3,-4/3> - <-2,-1>`

`=<-5/3+2, -4/3+1>`

`=<1/3, -1/3>ms^-1`