What is the speed of an object that travels from #( -2,1,2) # to #( -3, 0,-7 ) # over #3 s#?
1 Answer
Jan 17, 2016
The speed of the object
Explanation:
- If you take the two points as standard form vectors, the distance between them would be the magnitude of the vector of their difference.
So take
-
#vec(A-B)=<-1,1,9>#
#|A-B|=sqrt(-1^2+1^2+9^2)#
#|A-B|=sqrt(83)=9.110#
#"distance"=9.110# -
The speed of the object
#="distance"/"time"#
#=9.110/3=3.037 " units/s"#