1.4 Analyzing Velocity-time Graphs Flashcards

1
Q

What type of motion is experienced in a plane flying across Alberta with constant speed and direction?

A

Uniform motion

In uniform motion, the speed and direction remain constant, resulting in a smooth ride.

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2
Q

What type of motion is illustrated by an all-terrain vehicle (ATV) bouncing along a rough trail?

A

Non-uniform motion (acceleration)

Non-uniform motion involves constant changes in speed and direction.

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3
Q

How can you distinguish between uniform and non-uniform motion?

A

By simple observation and gathering data

Data can be visualized through graphs to analyze motion more effectively.

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4
Q

What are two methods of graphical analysis mentioned in the content?

A
  • Determining slopes
  • Finding the area under a graph

These methods help in understanding an object’s motion more comprehensively.

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5
Q

What type of graph should be analyzed to obtain information about an object’s motion regarding position?

A

Position-time graph

The slope of a position-time graph indicates the object’s velocity.

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6
Q

What type of graph should be analyzed to obtain information about an object’s motion regarding velocity?

A

Velocity-time graph

The slope of a velocity-time graph reflects the object’s acceleration.

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7
Q

Fill in the blank: A smooth ride indicates _______ motion.

A

[uniform]

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8
Q

Fill in the blank: An ATV’s ride along a rough trail is an example of _______ motion.

A

[non-uniform]

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9
Q

What does the slope of a velocity-time graph represent?

A

The acceleration of the object

The slope is calculated as the change in velocity over the change in time.

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10
Q

What type of motion is indicated by a velocity-time graph that is horizontal?

A

Uniform motion

This indicates that the object is moving at a constant velocity.

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11
Q

What does a vertical slope in a velocity-time graph indicate?

A

The object is accelerating

The steeper the slope, the greater the acceleration.

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12
Q

Fill in the blank: The units for the slope of a velocity-time graph are _______.

A

m/s

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13
Q

What are the two possibilities for stopped motion in position-time graphs?

A
  • 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.

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14
Q

What are four possibilities for uniformly accelerated motion in position-time graphs?

A
  • 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.

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15
Q

What type of motion is indicated by a velocity-time graph that slopes downwards?

A

The object is slowing down

A downward slope indicates a decrease in velocity over time.

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16
Q

Describe how to determine the shape of a velocity-time graph from a position-time graph.

A
  • 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.

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17
Q

What does a velocity-time graph for an object undergoing uniformly accelerated motion look like?

A

A straight line with a positive slope

This indicates constant acceleration.

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18
Q

What distinguishes uniform motion from uniformly accelerated motion on a velocity-time graph?

A
  • Uniform motion: horizontal line
  • Uniformly accelerated motion: straight line with a slope

The slope indicates acceleration, while a horizontal line indicates constant velocity.

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19
Q

True or False: A velocity-time graph can provide information about both speed and direction of motion.

A

True

The graph indicates the magnitude of velocity and its direction based on the sign of the value.

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20
Q

What does the area under a velocity-time graph represent?

A

Displacement

The area under the graph quantifies the overall change in position of an object.

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21
Q

What is the formula for displacement using a velocity-time graph?

A

area = Ad = VAt

‘Ad’ represents the area, ‘V’ is velocity, and ‘t’ is time.

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22
Q

How is displacement calculated from a velocity-time graph?

A

By summing the areas above and below the time axis

Positive areas represent eastward displacement, while negative areas represent westward displacement.

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23
Q

In the context of a velocity-time graph, what does eastward displacement correspond to?

A

Area above the time axis

Eastward motion is considered positive.

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24
Q

In the context of a velocity-time graph, what does westward displacement correspond to?

A

Area below the time axis

Westward motion is considered negative.

25
If a plane travels east at 300 km/h for 2.0 hours, what is its eastward displacement?
+600 km ## Footnote This is calculated as 300 km/h multiplied by 2.0 h.
26
If a plane then turns back west for 0.5 hours, what is the velocity during this time?
-300 km/h ## Footnote The negative sign indicates motion in the opposite direction.
27
What is the displacement during the westward leg of the plane's journey?
-150 km ## Footnote This is calculated as -300 km/h multiplied by 0.5 h.
28
What is the net displacement of the plane after both legs of the journey?
+450 km ## Footnote This is the sum of +600 km (eastward) and -150 km (westward).
29
True or False: The area under the velocity-time graph can be negative.
True ## Footnote Negative area corresponds to displacement in the negative direction (westward).
30
Fill in the blank: The units of displacement derived from a velocity-time graph are _______.
km ## Footnote This is obtained from km/h multiplied by hours.
31
What is the unit of measurement for velocity?
m/s ## Footnote The unit 'm/s' stands for meters per second, indicating the distance traveled in meters for each second of time.
32
How does the motion of objects typically behave in terms of velocity?
Objects rarely travel at constant velocity ## Footnote Factors such as stop signs, traffic lights, and obstacles cause variations in velocity.
33
What can be used to describe motion more precisely?
A series of instantaneous velocities ## Footnote Instantaneous velocities provide detailed information about motion at specific moments.
34
What happens when total displacement and total time are substituted into the equation v = At?
You lose most of the details of your journey ## Footnote This results in an average velocity value that does not reflect the variations in speed.
35
What does the average velocity, Vave, represent?
A value that describes the overall journey ## Footnote It summarizes the motion but lacks detail about the variations during the trip.
36
How can average velocity be calculated from a velocity-time graph?
Determine the area under the velocity-time graph and divide by the total time ## Footnote This method provides a visual representation of the average velocity over time.
37
What is the formula to calculate average velocity when given different displacements over different time intervals?
Add the total displacement and divide by the total time ## Footnote This approach ensures that all variations in motion are accounted for.
38
Fill in the blank: Displacement, Ad, is the ______ under the velocity-time graph.
area ## Footnote The area under the graph represents the total displacement during the time interval considered.
39
What is the unit of measurement for velocity?
m/s ## Footnote The unit 'm/s' stands for meters per second, indicating the distance traveled in meters for each second of time.
40
How does the motion of objects typically behave in terms of velocity?
Objects rarely travel at constant velocity ## Footnote Factors such as stop signs, traffic lights, and obstacles cause variations in velocity.
41
What can be used to describe motion more precisely?
A series of instantaneous velocities ## Footnote Instantaneous velocities provide detailed information about motion at specific moments.
42
What happens when total displacement and total time are substituted into the equation v = At?
You lose most of the details of your journey ## Footnote This results in an average velocity value that does not reflect the variations in speed.
43
What does the average velocity, Vave, represent?
A value that describes the overall journey ## Footnote It summarizes the motion but lacks detail about the variations during the trip.
44
How can average velocity be calculated from a velocity-time graph?
Determine the area under the velocity-time graph and divide by the total time ## Footnote This method provides a visual representation of the average velocity over time.
45
What is the formula to calculate average velocity when given different displacements over different time intervals?
Add the total displacement and divide by the total time ## Footnote This approach ensures that all variations in motion are accounted for.
46
Fill in the blank: Displacement, Ad, is the ______ under the velocity-time graph.
area ## Footnote The area under the graph represents the total displacement during the time interval considered.
47
What do velocity-time graphs provide?
Instantaneous velocity values ## Footnote Velocity-time graphs are essential for understanding the motion of an object.
48
What does the slope of a velocity-time graph represent?
An object's acceleration ## Footnote The slope indicates how quickly the velocity of the object is changing.
49
What does the area under a velocity-time graph represent?
The object's displacement ## Footnote Displacement is the overall change in position of the object.
50
How can you determine the average velocity of an object?
From a velocity-time graph over a time interval ## Footnote Average velocity is calculated by taking the total displacement divided by the total time.
51
Fill in the blank: Finding the slope of a velocity-time graph gives you _______.
an object's acceleration
52
True or False: The area under a velocity-time graph can be used to find the average velocity.
False ## Footnote The area gives displacement, while average velocity requires total displacement over total time.
53
What do velocity-time graphs provide?
Instantaneous velocity values ## Footnote Velocity-time graphs are essential for understanding the motion of an object.
54
What does the slope of a velocity-time graph represent?
An object's acceleration ## Footnote The slope indicates how quickly the velocity of the object is changing.
55
What does the area under a velocity-time graph represent?
The object's displacement ## Footnote Displacement is the overall change in position of the object.
56
How can you determine the average velocity of an object?
From a velocity-time graph over a time interval ## Footnote Average velocity is calculated by taking the total displacement divided by the total time.
57
Fill in the blank: Finding the slope of a velocity-time graph gives you _______.
an object's acceleration
58
True or False: The area under a velocity-time graph can be used to find the average velocity.
False ## Footnote The area gives displacement, while average velocity requires total displacement over total time.