Objects A and B are at the origin. If object A moves to #(-2 ,8 )# and object B moves to #(-5 ,-6 )# over #4 s#, what is the relative velocity of object B from the perspective of object A?

1 Answer
Mar 1, 2016

Answer:

#vec v_(AB)=sqrt 203/4( unit)/s#

Explanation:

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#"displacement between two point is:"#
#Delta vec x=-5-(-2)=-3 " unit"#
#Delta vec y=-6-8=-14 " unit"#
#Delta vec s=sqrt((-3)^2+(-14)^2))#
#Delta vec s=sqrt (9+194)=sqrt 203#
#vec v_(AB)=(Delta vec s)/(Delta t)#
#vec v_(AB)=sqrt 203/4( unit)/s#