Question

Objects A and B are at the origin. If object A moves to `(0 ,-3 )` and object B moves to `(-1 ,-8 )` over `4 s`, what is the relative velocity of object B from the perspective of object A?

Answer 1

The relative velocity of `B` with respect to `A` is `=<1/4,5/4>`

Explanation:

The absolute velocity of `A` is

`vecv_A=1/4<0,-3>=<0,-3/4>`

The absolute velocity of `B` is

`vecv_B=1/4<-1,-8>=<-1/4,-8/4>`

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

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

`=<0,-3/4> - <-1/4,-8/4>`

`=<1/4,5/4>`