Question

Objects A and B are at the origin. If object A moves to `(-3 ,7 )` and object B moves to `(1 ,3 )` 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 answer is `== < 4/3, -4/3> ms^-1`

Explanation:

The time is `t=3s`

The absolute velocity of `A` is `v_A=1/3* <-3, 7> = <-1, 7/3>`

The absolute velocity of `B` is `v_B=1/3* <1, 3> = <1/3, 1>`

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

`v_(B//A)=v_B-v_A`

`= <1/3, 1> - <-1, 7/3>`

`= <1/3-(-1), 1-(7/3) >`

`= < 4/3, -4/3> ms^-1`