Question

How can motion in one or two dimensions be described qualitatively and graphically?

a. By analyzing the velocity and acceleration changes over time.
b. By considering the displacement and speed variations in different directions.
c. By observing the distance covered and time taken in a linear fashion.
d. By graphing the position, velocity, and acceleration against time to depict the object's movement.

Answer 1

Motion in one or two dimensions can be described by graphing displacement, velocity, and acceleration against time.

The slope of a displacement versus time graph gives velocity, and the slope of a velocity versus time graph gives acceleration, providing a clear visual representation of motion.

Step-by-step explanation:

Motion in one or two dimensions can be qualitatively and graphically described in several ways. One common method is by graphing the position, velocity, and acceleration against time to depict the object's movement. This allows us to visually interpret the motion.

If we start with a graph of displacement versus time, the slope at any point on this graph gives us the velocity. Similarly, from a graph of velocity versus time, the slope at any point provides the acceleration.

For one-dimensional motion, like a maglev train moving from Tokyo to Kyoto, we can calculate displacements, velocities, and accelerations.

When examining two-dimensional motion, we analyze scalar and vector quantities, simplifying calculations by treating each dimension separately while still recognizing that the motion occurs in the same way regardless of the reference frame.