What is the speed of an object that travels from $(4,-7,1)$ to $(-1,3,-8)$ over $6 s$ ?

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Answer 1 · 2016-02-05T22:16:15

$2.392m//s$

We may use the Euclidean metric in $RR^3$ to find the distance between the two given points, assuming SI units, as

$x=d[(4,-1,7);(-1,3,8)]=sqrt((4-(-1))^2+(-7-3)^2+(1-(-8))^2)$

$=sqrt(25+100+81$

$=sqrt206$ $m$ .

We may now use the definition of speed (the rate of change in distance) to get

$v=x/t=sqrt206/6$

$=2.392m//s$

What is the speed of an object that travels from (4,-7,1) (4,-7,1) to (-1,3,-8) (-1,3,-8) over 6 s6 s?