Objects A and B are at the origin. If object A moves to (3 ,-4 ) and object B moves to (2 ,7 ) over 8 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
Apr 23, 2017

The relative velocity is =<-1/8,11/8>

Explanation:

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The absolute velocity of A is

vecv_A=1/8<3,-4>=<3/8,-4/8>

The absolute velocity of B is

vecv_B=1/8<2,7>=<2/8,7/8>

The relative velocity of B with respect to A is

vecv_(B//A)=vecv_B-vecv_A

=<2/8,7/8> - <3/8,-4/8>

=<-1/8,11/8>