Question

Objects A and B are at the origin. If object A moves to `(-8 ,7 )` and object B moves to `(-6 ,-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 `= < 2/3, -11/3> ms^-1`

Explanation:

The absolute velocity of `A` is `v_A=1/3<-8,7> = <-8/3, 7/3>`

The absolute velocity of `B` is `v_B=1/3<-6,-4> = <-6/3, -4/3>`

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

`v_(B//A)=v_B-v_A =<-6/3, -4/3> - <-8/3, 7/3>`

`=< -6/3+8/3, -4/3-7/3>`

`= < 2/3, -11/3> ms^-1`