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Motion & Change

14 concepts in Physics

Motion and change is the study of how objects move through space and time. Students learn to describe motion precisely using concepts like position, displacement, speed, velocity, and acceleration. They work with motion graphs โ€” position vs. time and velocity vs. time โ€” to visualize and analyze movement patterns. This topic covers uniform motion, uniformly accelerated motion, and projectile motion, building a progressively richer picture of how the physical world behaves. The kinematic equations give students powerful tools for predicting where an object will be and how fast it will be moving at any future time. Understanding motion is the starting point for all of mechanics and connects directly to real-world contexts such as driving, athletics, space travel, and the motion of celestial bodies.

Suggested learning path: Start with describing motion qualitatively using everyday examples, then learn to interpret and create motion graphs, and finally apply kinematic equations to solve quantitative problems.

Position

The location of an object relative to a chosen reference point (origin), described using coordinates in a given reference frame.

Displacement

The change in position of an object, measured as the straight-line distance and direction from the starting point to the ending point.

Prerequisites:
position

Velocity

The rate of change of position with respect to time, including both magnitude and direction.

Prerequisites:
displacement

Speed

The rate at which an object covers distance over time, calculated as total distance divided by total time, always expressed as a non-negative scalar quantity.

Prerequisites:
velocity

Acceleration

The rate at which an object's velocity changes over time, measured in metres per second squared (m/sยฒ).

Prerequisites:
velocity

Free Fall

Motion under gravity alone, with no air resistance โ€” all objects in free fall accelerate at $g \approx 9.81$ m/sยฒ regardless of mass.

Prerequisites:
acceleration

Projectile Motion

Two-dimensional motion under gravity alone, where horizontal velocity is constant and vertical motion is uniformly accelerated โ€” producing a parabolic path.

Prerequisites:
free fall
velocity
vectors

Circular Motion

Motion of an object along a circular path where the speed may be constant but the velocity is continuously changing direction, requiring a centripetal acceleration.

Prerequisites:
acceleration
velocity

Reference Frame

A coordinate system attached to a particular observer that is used to describe the positions and motions of objects.

Prerequisites:
position
velocity

Vectors

Mathematical quantities that possess both a magnitude (size) and a direction, represented graphically as arrows.

Angular Velocity

The rate at which an object rotates about an axis, measured in radians per second, with a direction along the axis.

Prerequisites:
circular motion
velocity

Average Speed

Average speed is the total distance traveled divided by the total time taken.

Prerequisites:
speed

Instantaneous Speed

Instantaneous speed is the speed of an object at a particular moment in time.

Prerequisites:
velocity
average speed

Relative Velocity

Relative velocity is the velocity of one object as measured from the reference frame of another object.

Prerequisites:
reference frame
velocity
vectors

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