Question

Objects A and B are at the origin. If object A moves to `(-3 ,-5 )` and object B moves to `(-1 ,9 )` 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, 14/3 > ms^-1`

Explanation:

The absolute velocity of `A` is

`v_A= 1/3 <-3, -5 > = <-1, -5/3> ms^-1`

The absolute velocity of `B` is

`v_B= 1/3 <-1, 9> = <-1/3, 3> ms^-1`

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

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

`= <-1/3+1, 3+5/3 >`

`= <2/3, 14/3 > ms^-1`