What is the speed of an object that travels from $( 2,-5,6 )$ to $( 2, -4 ,1 )$ over $2 s$ ?

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Answer 1 · 2016-03-27T17:50:38

$2.55units//s$

First find the distance between the 2 given points by using the normal Euclidean metric in $RR^3$ .

$therefored[(2,-5,6);(2,-4,1)]=sqrt((2-2)^2+(-5-(-4))^2+(6-1)^2)$

$=sqrt26$ .

Now apply the definition of speed, the rate of change in distance, to get

$v=x/t=sqrt26/2=2.55units//s$

What is the speed of an object that travels from ( 2,-5,6 ) ( 2,-5,6 ) to ( 2, -4 ,1 ) ( 2, -4 ,1 ) over 2 s2 s?