Question

Objects A and B are at the origin. If object A moves to `(1 ,-1 )` and object B moves to `(5 ,9 )` over `2 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, 5>`

Explanation:

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

The absolute velocity of `B` is `v_B=1/2<5,9> = <5/2,9/2>`

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

`v_(B//A)=v_B-v_A= <5/2,9/2> - <1/2,-1/2> = <5/2-1/2, 9/2+1/2>`

`= <2, 5>`