Question

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

Explanation:

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

The absolute velocity of `B` is `v_B=1/8<1,-1> = <1/8,-1/8>`

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

`v_(B//A)=v_B-v_A= <1/8,-1/8> - <-3/8,-1> = <1/8+3/8, -1/8+1>`

`= <1/2, 7/8>`