Question

Objects A and B are at the origin. If object A moves to `(-8 ,7 )` and object B moves to `(6 ,-2 )` over `1 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 `=14veci-9vecj`

Explanation:

The absolute velocity of `A` is

`vecv_A=1/<-8,7>=<-8,7>`

The absolute velocity of `B` is

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

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

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

`= <6,-2 > - <-8,7>`

`=<14,-9> ms^-1`