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.

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

$"speed"="distance"/"time"$

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

What is the speed of an object that travels from ( 7,1,6 ) ( 7,1,6 ) to ( 4,-3,7 ) ( 4,-3,7 ) over 2 s2 s?