Objects A and B are at the origin. If object A moves to #(5 ,-1 )# and object B moves to #(-8 ,6 )# 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.

1 Answer
Jun 8, 2016

Answer:

#"the green vector represents relative velocity"#
#v_"AB"=4.92" "m/s#

Explanation:

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#"the relative displacement between Object A and B can be calculated using :"#

#Delta s=sqrt((B_x-A_x)^2+(B_y-A_y)^2)#

#"Where "B_x=-8" ; "A_x=5" ; "B_y=6" ; "A_y=-1#

#Delta s=sqrt((-8-5)^2+(6+1)^2)#

#Delta s=sqrt(169+49) " ; "Delta s=14.76" "m#

#"The relative velocity of B from the perspective of A is:"#

#v_"AB"=(Delta s)/("time")#

#v_"AB"=(14.76)/3#
#"the green vector represents relative velocity"#
#v_"AB"=4.92" "m/s#