Jill sets out from her home to deliver flyers for her yard sale, traveling due east along her streetlined with houses. Later she runs out of flyers and has to retrace her steps back to her house to get more. After picking up more flyers, she sets out again on the same path, continuing where she left off, and ends up 1.0 km from her house. At this point she turns back toward her house, heading south where she stops to rest. In which direction Jill is from her home?
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To describe the motion of an object, you must first be able to describe its position (x): where it is at any particular time. More precisely, we need to specify its position relative to a convenient frame of reference. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described. Earth is often used as a frame of reference, and we often describe the position of an object as it relates to stationary objects on Earth. For example, a rocket launch could be described in terms of the position of the rocket with respect to Earth as a whole, whereas a cyclist’s position could be described in terms of where she is in relation to the buildings she passes (Figure). In other cases, we use reference frames that are not stationary but are in motion relative to Earth. To describe the position of a person in an airplane, for example, we use the airplane, not Earth, as the reference frame. To describe the position of an object undergoing one-dimensional motion, we often use the variable x. Later in the chapter, during the discussion of free fall, we use the variable y.