Hapter 02, problem 10 in reaching her destination, a backpacker walks with an average velocity of 1.15 m/s, due west. this average velocity results, because she hikes for 6.07 km with an average velocity of 2.78 m/s due west, turns around, and hikes with an average velocity of 0.675 m/s due east. how far east did she walk (in kilometers)?

The total average velocity  (I assume west as positive direction) is given by the total displacement, S, divided by the total time taken, t:


where:
-The total displacement is the algebraic sum of the displacement in the first part of the motion (, due west) and of the displacement in the second part of the motion (, due east).
-The total time taken is the time taken for the first part of the motion, , and the time taken for the second part of the motion, .  can be found by using the average velocity and the displacement of the first part:

, instead, can be written as , where  is the average velocity of the second part of the motion (with a negative sign, since it is due east). 
Therefore, we can rewrite the initial equation as:

And by solving it, we find the displacement in the second part of the motion (i.e. how far did the backpacker move east):

Answertraveling around a circular trackexplanation"traveling around a circular track" is the best answer as you could be traveling around a circular track at a constant speed. your velocity would therefore have the same magnitude but will always be constantly direction. since acceleration is the rate of change of velocity, the rate of change will only involve the direction of velocity and not the magnitude.wrong choices: "an object at rest" does not accelerate at all"increasing speed while traveling around a curve" means that the acceleration will not be constant due to only change in direction; it will be constant due to both magnitude and direction"an object in free fall" does not necessarily change direction