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Multiple Choice
Which of the following statements about position-time graphs is NOT correct?
A
A curved line indicates constant velocity.
B
A steeper slope indicates a higher speed.
C
A horizontal line indicates the object is at rest.
D
A negative slope indicates the object is moving in the opposite direction.
Verified step by step guidance
1
Understand the concept of a position-time graph: A position-time graph plots the position of an object on the y-axis against time on the x-axis. The slope of the graph at any point gives the velocity of the object at that time.
Analyze the statement 'A curved line indicates constant velocity': A curved line on a position-time graph suggests that the slope is changing, which means the velocity is changing. Therefore, a curved line indicates acceleration, not constant velocity.
Consider the statement 'A steeper slope indicates a higher speed': On a position-time graph, the slope of the line represents the velocity. A steeper slope means a larger change in position over time, indicating a higher speed.
Evaluate the statement 'A horizontal line indicates the object is at rest': A horizontal line on a position-time graph means there is no change in position over time, indicating the object is at rest.
Review the statement 'A negative slope indicates the object is moving in the opposite direction': A negative slope on a position-time graph means the position is decreasing over time, indicating the object is moving in the opposite direction.