Question

Objects A and B are at the origin. If object A moves to `(-6 ,-2 )` and object B moves to `(5 ,4 )` 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 `= <11/3, 2> ms^-1`

Explanation:

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

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

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

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

`=<5/3, 4/3> - <-2, -2/3>`

`= <5/3+2, 4/3 +2/3>`

`= <11/3, 2> ms^-1`