Objects A and B are at the origin. If object A moves to #(-6 ,-2 )# and object B moves to #(5 ,4 )# 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.

↳Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
Narad T.
Apr 22, 2018

The relative velocity is #= <11/3, 2> ms^-1#

Explanation:

![www.slideshare.net](useruploads.socratic.org)

The absolute velocity of #A# is #v_A=1/3 <-6,-2> = <-2,- 2/3> ms^-1#

The absolute velocity of #B# is #v_B=1/3 <5,4> = <5/3, 4/3> ms^-1#

The relative velocity of #B# with respect to #A# is

#v_(B//A)=v_B-v_A#

#=<5/3, 4/3> - <-2, -2/3> #

#= <5/3+2, 4/3 +2/3>#

#= <11/3, 2> ms^-1#

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