2. (20 points) In a physics lab, a student has observed the motion of an E. coli bacterium using a video 4 camera. A log-log plot of the square deviation of the chosen bacterium as a function of time is shown in the . . . 3 gure below. The bacterium seems to have two distinct behaviors: for times shorter than 1 second (marked A) '5(\"2/ 111mg) and for times longer than 10 seconds (marked B). 2 What do you think might be an appropriate hypothesis for what might be causing the two different behaviors? 1 log(t/ls) 2.1 In region A: The bacterium is moving purposefully in response to some chemical gradient. The bacterium is moving at random in response to the thermal motion of its environment. The bacterium is constrained in some way. The bacterium is using its agella (which work like propellers)to move at a constant velocity The bacterium is accelerating in response to a force in a xed direction. None of these behaviors are consistent with that part of the graph. WP'JUOPUP 2.2 In region B: The bacterium is moving purposefully in response to some chemical gradient. The bacterium is moving at random in response to the thermal motion of its environment. The bacterium is constrained in some way. The bacterium is using its agella (which work like propellers) to move at a constant velocity. The bacterium is accelerating in response to a force in a xed direction. None of these behaviors are consistent with that part of the graph. eweow&gt