Question

Objects A and B are at the origin. If object A moves to `(-9 ,-4 )` and object B moves to `(-3 ,6 )` 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 `= <2,10/3>`

Explanation:

The absolute velocity of `A` is

`v_A=1/3<-9,-4> = <-3,-4/3>`

The absolute velocity of `B` is

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

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

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

`= <2,10/3>`