What is the speed of an object that travels from #( -5 , 2, -8) # to #(6 , -2, 7 ) # over #4 s#?

1 Answer
Feb 22, 2016

Answer:

#v~=4,76m/s#

Explanation:

#P_1=(x_1,y_1,z_1)#
#P_2=(x_2,y_2,z_2)#
#Delta x=x_2-x_1#
#Delta y=y_2-y_1#
#Delta z=z_2-z_1#
#"distance between two points is given by:"#
#Delta s=sqrt(Delta x^2+ Delta y^2+ Delta z^2)#
#Delta s=sqrt(11^2+(-4)^2+15^2)=sqrt(121+16+225)#
#Delta s=sqrt362#
#Delta s ~=19,03m#
#v=(Delta s)/(Delta t)#
#v=(19,03)/4#
#v~=4,76m/s#