Question

Objects A and B are at the origin. If object A moves to `(-3 ,1 )` and object B moves to `(-6 ,8 )` 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 of `B` wrt `A` is `=<-1,3/3>`

Explanation:

The absolute velocity of `A` is

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

The absolute velocity of `B` is

`vecv_B=1/3<-6,8>=<-2,8/3>`

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

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

`=<-2,8/3> - <-1,1/3>`

`=<-1,3/3>`