Question

Objects A and B are at the origin. If object A moves to `(0 ,-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 `=<5/8,11/8>`

Explanation:

The absolute velocity of `A` is

`vecv_A=1/8<0,-3>=<0,-3/8>`

The absolute velocity of `B` is

`vecv_B=1/8<5,8> = <5/8,1>`

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

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

`= <5/8,1 > - <0,-3/8>`

`=<5/8,11/8>`