What is the speed of an object that travels from #( -9,4,-6) # to #( -9,-9,2) # over #3 s#?

1 Answer
Feb 5, 2018

Answer:

#5.09ms^(-1)#

Explanation:

#"Speed"="Distance"/"Time"#

#"Time"=3s#

#"Distance"=sqrt((Deltax)^2+(Deltay)^2+(Deltaz)^2)#

#Deltax=-9-(-9)=-9+9=0#
#Deltay=-9-4=-13#
#Deltaz=2-(-6)=2+6=8#

#"Distance"=sqrt(0^2+(-13)^2+8^2)=sqrt(169+64)=sqrt(233)#

#"Speed"=sqrt(233)/3~~5.09ms^(-1)#