In this section, we explore how to represent the motion of objects through distance-time graphs, illustrating concepts such as uniform speed, non-uniform speed, and rest. These graphs enable us to interpret motion quantitatively and visually, providing insights into speed and displacement.
Distance-time graphs are crucial for comprehensively understanding motion. These graphs visually demonstrate the relationship between the distance travelled by an object and the time taken. Time is represented along the x-axis, while distance is plotted on the y-axis.
These representations allow us to calculate speed via the slope of the line, where speed is defined as distance divided by time. Moreover, the total distance covered during intervals can be derived by calculating areas under relevant segments of the graph. Understanding these graphs enhances our ability to analyze motion in real-world contexts.
Distance: Total path length traveled.
Displacement: Shortest straight line from start to finish.
Uniform Motion: Constant speed in a straight line.
Non-Uniform Motion: Speed changes over time.
Slope: Represents speed on distance-time graphs.
In a graph that rises straight, uniform speed is what you rate.
Imagine a train moving steadily; the distance chart stays steady like the train.
SLOW = Steeper slopes mean Later On We speed up.
If a runner completes 400 meters in 1 minute, the distance-time graph will show a straight line indicating uniform motion.
If a car accelerates, the distance-time graph may curve upward, representing increasing speed.
Term: Distance
Definition:
The total length of the path traveled by an object, regardless of direction.
Term: Displacement
Definition:
The shortest distance from the initial to the final position of an object, usually represented as a straight line.
Term: Uniform Motion
Definition:
Motion at a constant speed in a straight line.
Term: NonUniform Motion
Definition:
Motion where an object's speed changes over time.
Term: Slope
Definition:
The steepness of the graph; in distance-time graphs, the slope indicates speed.