At a certain instant, particles and have position vectors and velocities given by: Matlab/Mathematica input:
rP = [2,-5]
rQ = [-3,-6]
vP = [-7,-8]
vQ = [-2,-8]
What is the rate of change of the distance between points and ?

Explanation:

The vectors are:

            Particle P

            Particle Q

            Particle P

            Particle Q

The rate of change of the relative positions of point P and Q is the relative velocity of one respect to the other.

The relative velocity of Q respect to P, in meter per second, is:

And the rate of change of the distance between points P and Q is the magnitude of the vector, which is 7m/s.

depends on what you mean by "group." for order, it would be coleoptera (beetles). for class, it would be insecta (insects). for phylum, it would be the arthropoda (animals with jointed exoskeletons).

explanation: