What is the speed of an object that travels from #( 8,-8,2) # to #( -5 , -3,-7 ) # over #2 s#?

1 Answer
Feb 5, 2016

Answer:

#v=8,2925#

Explanation:

#P_1:(8,-8,2) " point of starting"#
#P_2:(-5,-3,-7) " point of ending"#
#Delta x=P_(2x)-P_(1x)=-5-8=-13#
#Delta y=P_(2y)-P_(1y)=-3+8=5#
#Delta z=P_(2z)-P_(1z)=-7-2=-9#
#"distance between two point is given by:"#
#s=(Delta x_x^2+ Delta _y^2+ Delta_z^2)^(1/2)#
#s=(169+25+81)^(1/2)#
#s=(275)^(1/2)#
#s=16,585#
#speed=("distance")/("elapsed time")#
#v=(16,585)/2#
#v=8,2925#