Objects A and B are at the origin. If object A moves to #(-2 ,7 )# and object B moves to #(5 ,3 )# over #4 s#, what is the relative velocity of object B from the perspective of object A?

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Answer 1 · 2016-03-03T10:42:05

#((7/4) , (-1)) "unit/s"#

After #4 "s"#, #A# observes that #B# is at

#5 - (-2) = 7#

7 units in the positive #x# direction and

#3 - 7 = -4#

4 units in the negative #y# direction relative to itself.

The #x# component of the velocity of #B# relative to #A# is #7/4 "unit/s"#

The #y# component of the velocity of #B# relative to #A# is #-1 "unit/s"#