Question

Objects A and B are at the origin. If object A moves to `(0 ,-1 )` and object B moves to `(9 ,6 )` over `4 s`, what is the relative velocity of object B from the perspective of object A?

Answer 1

The relative velocity is `=<-9/4,-7/4>`

Explanation:

The absolute velocity of `A` is

`vecv_A=1/4<0,-1>=<0,-1/4>`

The absolute velocity of `B` is

`vecv_B=1/4<9,6> = <9/4,6/4>`

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

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

`= <0,-1/4 > - <9/4,6/4>`

`=<-9/4,-7/4>`