Objects A and B are at the origin. If object A moves to #(6 ,7 )# and object B moves to #(-1 ,3 )# over #4 s#, what is the relative velocity of object B from the perspective of object A?

1 Answer
Feb 14, 2018

Answer:

First, use the Pythagorean Theorem, then use equation #d=vt#

Explanation:

Object A has moved #c=sqrt(6^2+7^2#=9.22m

Object B has moved #c=sqrt((-1)^2+3^2#=3.16m

The velocity of Object A is then #{9.22m}/{4s}=2.31m/s#

The velocity of Object B is then #{3.16m}/{4s}=.79m/s#

Since these objects are moving in opposite directions, these velocities will add, so they will appear to be moving at 3.10 m/s
away from each other.