Question

Objects A and B are at the origin. If object A moves to `(-4 ,-3 )` and object B moves to `(5 ,8 )` 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 `=<9/8, 11/8> ms^-1`

Explanation:

The absolute velocity of `A` is `v_A=1/8<-4,-3> = <-1/2,-3/8> ms^-1`

The absolute velocity of `B` is `v_B=1/8 <5,8> = <5/8,1> ms^-1`

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

`v_(B//A) =v_B-v_A= <5/8,1> - <-1/2,-3/8>`

`= <(5/8+1/2), (1+3/8)>`

`= <9/8, 11/8> ms^-1`