What is the speed of an object that travels from #( 7,1,6 ) # to #( 4,-3,7 ) # over #2 s#?

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Answer 1 · 2018-05-01T20:48:52

#"speed"=sqrt(26)/2~~2.55 " units"^-1#

Let.

#a=(7,1,6)# and #b=(4,-3,7)#

Then:

#bbvec(ab)=b-a=(-3,-4,1)#

We need to find the magnitude of this. This is given by the distance formula.

#||bb(ab)||=sqrt((-3)^2+(-4)^2+(1)^2)=sqrt(26)#

#"speed"="distance"/"time"#

#"speed"=sqrt(26)/2~~2.55 " units"^-1#