Question

Objects A and B are at the origin. If object A moves to `(0 ,-3 )` and object B moves to `(9 ,-3 )` 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 `=<3,0>`

Explanation:

The absolute velocity of `A` is

`vecv_A=1/3<0,-3>=<0,-1>`

The absolute velocity of `B` is

`vecv_B=1/3<9,-3>=<3,-1>`

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

`vecv_(B//A)=vecv_B-vecv_A`

`=<3,-1> - <0,-1>`

`=<3,0>`