1.4 Analyzing Velocity-time Graphs Flashcards
What type of motion is experienced in a plane flying across Alberta with constant speed and direction?
Uniform motion
In uniform motion, the speed and direction remain constant, resulting in a smooth ride.
What type of motion is illustrated by an all-terrain vehicle (ATV) bouncing along a rough trail?
Non-uniform motion (acceleration)
Non-uniform motion involves constant changes in speed and direction.
How can you distinguish between uniform and non-uniform motion?
By simple observation and gathering data
Data can be visualized through graphs to analyze motion more effectively.
What are two methods of graphical analysis mentioned in the content?
- Determining slopes
- Finding the area under a graph
These methods help in understanding an object’s motion more comprehensively.
What type of graph should be analyzed to obtain information about an object’s motion regarding position?
Position-time graph
The slope of a position-time graph indicates the object’s velocity.
What type of graph should be analyzed to obtain information about an object’s motion regarding velocity?
Velocity-time graph
The slope of a velocity-time graph reflects the object’s acceleration.
Fill in the blank: A smooth ride indicates _______ motion.
[uniform]
Fill in the blank: An ATV’s ride along a rough trail is an example of _______ motion.
[non-uniform]
What does the slope of a velocity-time graph represent?
The acceleration of the object
The slope is calculated as the change in velocity over the change in time.
What type of motion is indicated by a velocity-time graph that is horizontal?
Uniform motion
This indicates that the object is moving at a constant velocity.
What does a vertical slope in a velocity-time graph indicate?
The object is accelerating
The steeper the slope, the greater the acceleration.
Fill in the blank: The units for the slope of a velocity-time graph are _______.
m/s
What are the two possibilities for stopped motion in position-time graphs?
- A horizontal line at a constant position
- A line overlapping with the time axis
Both scenarios indicate that there is no change in position over time.
What are four possibilities for uniformly accelerated motion in position-time graphs?
- A parabolic curve opening upwards
- A parabolic curve opening downwards
- A straight line with a positive slope increasing in steepness
- A straight line with a negative slope increasing in steepness
Each of these indicates different rates of acceleration.
What type of motion is indicated by a velocity-time graph that slopes downwards?
The object is slowing down
A downward slope indicates a decrease in velocity over time.
Describe how to determine the shape of a velocity-time graph from a position-time graph.
- Analyze the steepness of the position-time graph
- Calculate the slope at various points
The shape of the velocity-time graph reflects changes in the rate of position change.
What does a velocity-time graph for an object undergoing uniformly accelerated motion look like?
A straight line with a positive slope
This indicates constant acceleration.
What distinguishes uniform motion from uniformly accelerated motion on a velocity-time graph?
- Uniform motion: horizontal line
- Uniformly accelerated motion: straight line with a slope
The slope indicates acceleration, while a horizontal line indicates constant velocity.
True or False: A velocity-time graph can provide information about both speed and direction of motion.
True
The graph indicates the magnitude of velocity and its direction based on the sign of the value.
What does the area under a velocity-time graph represent?
Displacement
The area under the graph quantifies the overall change in position of an object.
What is the formula for displacement using a velocity-time graph?
area = Ad = VAt
‘Ad’ represents the area, ‘V’ is velocity, and ‘t’ is time.
How is displacement calculated from a velocity-time graph?
By summing the areas above and below the time axis
Positive areas represent eastward displacement, while negative areas represent westward displacement.
In the context of a velocity-time graph, what does eastward displacement correspond to?
Area above the time axis
Eastward motion is considered positive.
In the context of a velocity-time graph, what does westward displacement correspond to?
Area below the time axis
Westward motion is considered negative.