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

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Answer 1 · 2018-07-24T09:03:28

Speed of object is about #8.4# units per second

The distance between two points #(x_1,y_1,z_1)# and #(x_2,y_2,z_2)# is given by

#sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)#

Hence distance between #(8,-3,6)# and #(-8,-4,1)# is

#sqrt((-8-8)^2+(-4-(-3))^2+(1-6)^2)#

= #sqrt((-16)^2+(-1)^2+(-5)^2)#

= #sqrt(256+1+25)#

= #sqrt282#

= #16.793#

As a distance of #16.793# is covered in #2s#

speed of object is #16.793=8.397~=8.4# per second