Question

Objects A and B are at the origin. If object A moves to `(-3 ,-8 )` and object B moves to `(1 ,-1 )` 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` wrt `A` is `=<4/3,7/3>`

Explanation:

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

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

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

`v_(B//A)=v_B-v_A`

`=<1/3,-1/3> - <-1,-8/3>`

`=<4/3,7/3>`