What is the speed of an object that travels from #( 8 , -4, 3 ) # to #( -2 , -1, 6 ) # over #4 s#?

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What is the speed of an object that travels from #( 8 , -4, 3 ) # to #( -2 , -1, 6 ) # over #4 s#?

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Answer 1 · 2016-06-19T10:22:38

The distance between points #(x_1,y_1,z_1)# and #(x_2,y_2,z_2)# is given by #r=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)#
#=sqrt((-2-8)^2+(-1-(-4))^2+(6-3)^2)=sqrt(100+9+9)=sqrt118~~10.9#. Then #v=d/t=10.9/4=2.7# #ms^-1#.

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What is the speed of an object that travels from #( 8 , -4, 3 ) # to #( -2 , -1, 6 ) # over #4 s#?

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