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.

1 Answer
May 23, 2017

Answer:

The relative velocity is #=14veci-9vecj#

Explanation:

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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#