Objects A and B are at the origin. If object A moves to #(9 ,-7 )# 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
Mar 19, 2016

Answer:

#v_"AB"=7,1" "m/s#
#alpha=143 ^o " from east"#

Explanation:

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#Delta s=sqrt(17^2+13^2)" "Delta s=sqrt(289+169)#
#Delta s=21,4 " "m#
#v_"AB"=(Delta s)/(Delta t)#
#v_"AB"=(21,4)/3#
#v_"AB"=7,1" "m/s#
#tan (180-alpha)=13/17=37 ^o#
#alpha=180-37#
#alpha=143 ^o " from east"#