Distinct patterns on a position vs. time graph can indicate constant velocity (straight line), acceleration (curved line), or a stopped runner (horizontal line). The slope of these lines represents the change in velocity, with steeper lines indicating greater velocities.
Different scenarios of runner motion will produce distinct patterns on a position vs. time graph. Here are some possible scenarios:
Constant velocity: The graph lines would be straight, with a slope that represents the velocity. If the slope is positive, the runner is moving in a positive direction, and if the slope is negative, the runner is moving in the opposite direction. A steeper slope indicates a faster speed.
Acceleration: When a runner is accelerating, the position vs. time graph will show a curved line. If the runner is accelerating positively, the curve will bend upward, indicating increasing speed. A curve bending downward would indicate negative acceleration or deceleration.
Stopped: If the runner is not moving, the graph is a horizontal line because the position does not change over time.
By examining a position vs. time graph, one can infer about the change in velocity over time through the slope of the graph. The steeper the graph, the greater the velocity. If a position vs. time graph is curved, the changing slope at different points means that the velocity is not constant, and the runner is accelerating. Conversely, a straight line implies constant velocity.
The probable question may be:
Describe the possible scenarios or types of runner motion that could result in distinct patterns on a position vs. time graph, and explain the characteristics of each graph based on the motion of the runner.