Saint Francis of Assisi College - Saint Anthony School
Describing and Graphing Motion
Website: www.stfrancis.edu.ph
Explain the difference between distance and displacement in everyday situations related to a reference point.
Distinguish between speed and velocity using the concept of vectors.
Describe uniform velocity.
Defined as the change in the position of an object over a period of time concerning a reference point.
Reference point: serves as a frame of reference to describe motion and quantify changes.
Scalar quantities are measurements that provide magnitude without direction.
Examples include:
120 kilometers
50 kilograms
20 hours
35°C
Vector quantities provide both magnitude and direction.
Examples:
120 km heading north
100 miles per hour south
Scalar Quantities:
Length, area, volume, mass, temperature, etc.
Vector Quantities:
Displacement, velocity, acceleration, momentum, etc.
Vectors are represented as arrows.
Head of the arrow indicates direction.
Length of the arrow is proportional to the value of the vector quantity.
Displacement refers to the change in position or location of an object.
Distance is described in terms of the path length covered by an object.
Distance is dependent on the path traversed, while displacement is the straight-line distance between two points, including direction.
Distance: Total length of actual path (scalar)
Displacement: Vector pointing from the start to the end position, regardless of the path taken.
Important to define zero-point and directions (+ and -) when measuring motion on an axis.
Formula: X = Xf - Xi
Xf: Final position
Xi: Initial position
Delta (Δ) indicates a change in position.
Displacement can be positive (to the right) or negative (to the left).
Thank You!
Speed and Velocity concepts introduction.
Same as earlier: Explaining distance vs. displacement, speed vs. velocity, and uniform velocity.
Speed describes motion in terms of how slow or fast something is.
Formula: Average Speed = Distance / Total Time
Average Speed:
Describes the motion occurring over varying intervals; does not specify the exact rate at a moment.
Instantaneous Speed:
Indicates how fast something is moving at a specific instant, like a speedometer reading.
See examples on pages 329-330.
Example: Jude rode 140 km around Russetville.
Use the formula: Speed = Distance / Time
Includes tabulated time and calculated speed.
Time (hour): 1, 2, 3, 4, 5, 6, 7
Speed (kph): 140, 70, 47, 35, 28, 23, 20
Velocity conveys both speed and direction as it is a vector quantity.
Formula: Average Velocity = Displacement / Total Time
Analysis of fast, uniform speed and its representation on graphs.
Motion graphs help visualize the movement of objects.
Independent variable on the x-axis, dependent variable on the y-axis.
Same information as above about graphs and their axes.
The slope of distance vs. time graphs indicates speed or velocity.
Positive slope: Moving right at constant speed.
Negative slope: Moving left at constant speed.
Zero slope: Indicates no movement.
Thank you for listening!