What is the speed of an object that travels from #( 2,-5,6 ) # to #( 2, -4 ,1 ) # over #2 s#?

1 Answer
Trevor Ryan.
Mar 27, 2016

#2.55units//s#

Explanation:

First find the distance between the 2 given points by using the normal Euclidean metric in #RR^3#.

#therefored[(2,-5,6);(2,-4,1)]=sqrt((2-2)^2+(-5-(-4))^2+(6-1)^2)#

#=sqrt26#.

Now apply the definition of speed, the rate of change in distance, to get

#v=x/t=sqrt26/2=2.55units//s#

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