What is the speed of an object that travels from $( -2,1,2)$ to $( -3, 0,-6 )$ over $3 s$ ?

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Answer 1 · 2015-12-29T00:36:04

$1.41"units""/s"$

To get the distance between 2 points in 3D space you effectively use Pythagoras in 2 D (x.y) and then apply that result to 3D (x,y,z).

Lets call $P=(-2,1,2)$

and $Q=(-3,0,6)$

Then $d(P,Q)=stackrel(rarr)(PQ)$

$=sqrt((-2+3)^2+(1-0)^2+(2-6)^2)$

$=sqrt(18)$

$=4.24$

$:.v=4.24/3=1.41"units/s"$

What is the speed of an object that travels from ( -2,1,2) ( -2,1,2) to ( -3, 0,-6 ) ( -3, 0,-6 ) over 3 s3 s?