Question

Objects A and B are at the origin. If object A moves to `(-6 ,-5 )` and object B moves to `(-5 ,12 )` 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 of `B` relative to `A` is `= <1/3, 17/3> ms^-1`

Explanation:

The absolute velocity of `A` is `v_A=1/3<-6,-5> = <-2,-5/3>`

The absolute velocity of `B` is `v_B=1/3 <-5,12> = <-5/3,4>`

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

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

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

`= <1/3, 17/3>`