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?

Question

1887 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-05T13:43:20

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

enter image source here

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>#