What is the speed of an object that travels from #( -2, -5, 1 ) # to #( -5 , -7, 4 ) # over #2 s#?

1 Answer
Jan 15, 2016

Answer:

#approx 2.345 (units) /s#

Explanation:

In a Cartesian coordinate system distance d between two points #P_1(x_1, y_1, z_1)# and#P_2(x_2, y_2, z_2)# is given by the formula

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

Inserting given values #(−2,−5,1)# and #(−5,−7,4)# for the points #P_1# and #P_2#

#d=sqrt((-5-(-2))^2+(-7-(-5))^2+(4-1)^2)#
#d=sqrt 22#
Now using the formula #speed = (dist ance)/(time)#
#d=sqrt 22/2#