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

1 Answer
May 1, 2018

Answer:

#"speed"=sqrt(26)/2~~2.55 " units"^-1#

Explanation:

Let.

#a=(7,1,6)# and #b=(4,-3,7)#

Then:

#bbvec(ab)=b-a=(-3,-4,1)#

We need to find the magnitude of this. This is given by the distance formula.

#||bb(ab)||=sqrt((-3)^2+(-4)^2+(1)^2)=sqrt(26)#

#"speed"="distance"/"time"#

#"speed"=sqrt(26)/2~~2.55 " units"^-1#