What is the speed of an object that travels from ( 8 , 4, 1 ) to ( 6 , 0, ,2 ) over 2 s?

1 Answer
ali ergin
Mar 18, 2016

v=sqrt 6" ""unit"/s

Explanation:

P_1(8,4,1) " "P_2(6,0,2)
P_"1x"=8" "P_"2x"=6" "Delta P_x=6-8=-2
P_"1y"=4" "P_"2y"=0" "Delta P_y=0-4=-4
P_"1z"=1" "P_"2z"=2" "Delta P_ z=2-1=2
" distance between the point of " P_1" and " P_2" is:"
Delta x=sqrt((Delta P_x)^2+(Delta P_y)^2+(Delta P_z)^2)

Delta x=sqrt((-2)^2+(-4)^2+2^2)=sqrt (4+16+4)=sqrt24

v=(Delta x)/t

v=sqrt 24/2
v=sqrt (4*6)/2
v=(cancel(2)*sqrt6)/cancel(2)

v=sqrt 6" ""unit"/s

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