Section 1.1: Motion, a First Look
2 step process to solve motion problems:
1. Motion Diagram: Develop a simplified representation of motion so that the key elements stand out.
2. Analyze the motion with the language of mathematics.
Motion: the change of an object's position or orientation with time.
Trajectory: the path along which an object moves.
4 basic types of motion:
1. Straight-line motion (1 dimensional)
2. Projectile motion
3. Circular motion
4. Rotational motion
Section 1.2: Position and Time, Putting Numbers on Nature
Displacement: the difference between a final position (x ) and an inifial position (x or x ). i 0
Δx = x -f (iositive or negative)
Time Interval: change in time. A time interval (Δt) measures the elapsed time as an object moves
from an initial position (x) at time t , to a final position (x ) at time t .
i i f f
Δt = t fti(always positive: t>t ) f i
Section 1.3: Velocity
Uniform motion (definition): motion at a constant speed. For an object in uniform motion, successive
frames of the motion diagram are equally spaced. This means that the object's displacement (Δx) is
the same between successive frames.
Speed of a moving object = distance traveled in a given time interval/ ti