Final answer:
In Physics, describing the motion of an object like a cat walking on an axis involves defining a reference frame and coordinate system. The x-axis and y-axis are typically used for horizontal and vertical motions with designated directions. However, these directions can be redefined for convenience in analysis as long as the system remains consistent.
Step-by-step explanation:
The subject of the question is Physics, particularly focusing on the kinematics of motion in one dimension. When analyzing the motion of an object such as a cat walking on the x-axis, it's critical to define a reference frame and coordinate system. The x-axis often represents horizontal motion, with motion to the right typically considered the positive direction, designated by the unit vector î, while motion to the left is the negative direction. Similarly, the y-axis usually represents vertical motion, with upward motion defined as positive, represented by the unit vector ˇ, and downward motion as negative. However, depending on the context and what makes analysis simpler, you may define these directions differently as long as the chosen convention is applied consistently throughout the problem.
To visually represent vectors, you might be asked to draw vectors on a graph, using a ruler and protractor. When constructing vectors graphically, the length of the arrow drawn represents the vector's magnitude, while the direction of the arrow indicates the vector's direction within the assigned coordinate system. For instance, if you draw an arrow nine blocks to the right (or east), this represents a vector with a positive x-component.
In summary, describing vector quantities requires a clear and consistent coordinate system, where forces or directions can be indicated with plus or minus signs to show their orientation with respect to this system.