Question

Objects A and B are at the origin. If object A moves to `(3 ,-4 )` and object B moves to `(2 ,7 )` 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 `=<-1/8,11/8>`

Explanation:

The absolute velocity of `A` is

`vecv_A=1/8<3,-4>=<3/8,-4/8>`

The absolute velocity of `B` is

`vecv_B=1/8<2,7>=<2/8,7/8>`

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

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

`=<2/8,7/8> - <3/8,-4/8>`

`=<-1/8,11/8>`