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

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Answer 1 · 2017-06-05T18:15:53

The speed is $=2.32ms^-1$

The distance between the points $A=(x_A,y_A,z_A)$ and the point $B=(x_B,y_B,z_B)$ is

$AB=sqrt((x_B-x_A)^2+(y_B-y_A)^2+(z_B-z_A)^2)$

$dt= sqrt((-1-6)^2+(-2+3)^2+(7-1)^2)$

$=sqrt(7^2+1^2+6^2)$

$=sqrt(49+1+36)$

$=sqrt86$

$=9.27m$

The speed is

$v=d/t=9.27/4=2.32ms^-1$

What is the speed of an object that travels from ( 6, -3, 1) ( 6, -3, 1) to (-1, -2, 7 ) (-1, -2, 7 ) over 4 s4 s?