The trajectory is the path along which an object moves, which can be straight or curved.
How is position defined in motion?
Position is the directed distance of an object from a reference point.
What does a motion diagram represent?
A motion diagram is a composite photo or sketch showing an object's position at several equally spaced instants of time to visualize motion.
What does uniform motion mean in a motion diagram?
Uniform motion means the object moves with constant speed, shown by equal spacing between positions in the diagram.
What is the particle model in motion analysis?
The particle model treats an object undergoing translational motion as a point particle with all mass concentrated at a single point, ignoring rotation and shape changes.
What is the conventional coordinate system orientation in motion problems?
The x-axis points to the right, the y-axis points upward, and the origin can be chosen arbitrarily.
How is time treated in motion analysis?
Time is a coordinate with an origin (usually t=0), a direction (forward in time), and a scale (seconds, years, etc.).
What is a position vector?
A position vector is an arrow drawn from the origin to the object's position, representing its location in space.
Define displacement.
Displacement is the change in position of an object, a vector quantity pointing from the initial to the final position.
Difference between scalar and vector quantities?
A scalar has only magnitude (size), while a vector has both magnitude and direction.
What is the tip-to-tail method of vector addition?
To add vectors, place the tail of the second vector at the tip of the first, then draw the resultant vector from the tail of the first to the tip of the second.
Does displacement depend on the path taken?
No, displacement depends only on the initial and final positions, not on the trajectory.
How is average speed defined?
Average speed = total distance traveled divided by the time interval spent traveling.
How is average velocity defined?
Average velocity = displacement divided by the time taken to make that displacement.
What is average acceleration?
Average acceleration is the ratio of the change in velocity to the time taken for that change.
When does acceleration occur?
Acceleration occurs when the velocity vector changes in magnitude, direction, or both.
What happens when velocity and acceleration vectors point in the same direction?
The object is speeding up.
What happens when velocity and acceleration vectors point in opposite directions?
The object is slowing down.
What does zero acceleration imply about velocity?
Zero acceleration means the velocity is constant.
What are the three components shown in a complete motion diagram?
Position dots, velocity vectors connecting positions, and acceleration vectors between velocity vectors.