Forces and Motion: Speed, Velocity, Acceleration

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Questions and Answers

How is average speed calculated?

  • By determining the maximum speed reached during the journey
  • By dividing the total distance traveled by the total time taken (correct)
  • By measuring the slope of a distance-time graph
  • By averaging instantaneous speeds over time

What defines instantaneous speed?

  • The speed at a specific moment in time (correct)
  • The speed determined from the slope of the speed versus time graph
  • The average speed calculated across the entire journey
  • The speed measured over a period of time

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

  • Direction of motion of the object
  • Instantaneous speed of the object
  • Average speed of the object (correct)
  • Acceleration of the object

Which statement best describes the relationship between speed, velocity, and acceleration?

<p>Acceleration occurs when there is a change in speed or direction of velocity. (A)</p> Signup and view all the answers

What is the average speed of a racecar that traveled 80 kilometers in 0.4 hours, 114 kilometers in 0.6 hours, and 80 kilometers in 0.4 hours?

<p>180 km/h (C)</p> Signup and view all the answers

In which scenario would the average speed be less than instantaneous speed?

<p>When an object speeds up and slows down repeatedly (A)</p> Signup and view all the answers

How can acceleration be determined from a graph?

<p>By measuring the change in slope over time (C)</p> Signup and view all the answers

What type of quantity is speed considered?

<p>A scalar quantity (A)</p> Signup and view all the answers

What is the main difference between a scatter plot and a line graph?

<p>Points in a scatter plot are not connected, whereas points in a line graph are. (C)</p> Signup and view all the answers

What does the slope of the best fit line represent on a distance versus time graph?

<p>The speed of the object (C)</p> Signup and view all the answers

Which statement about velocity is true?

<p>Velocity includes both speed and direction of motion. (A)</p> Signup and view all the answers

What does a change in velocity signify regarding acceleration?

<p>The object may increase, decrease speed, or alter direction. (C)</p> Signup and view all the answers

Considering a graph of distance versus time, what could explain the slope if it is constant?

<p>The object is moving at a constant speed. (C)</p> Signup and view all the answers

If a student indicates the average speed of a ball rolling 6 m in 2 s is 1.5 m/s², what error is present in their reasoning?

<p>The average speed should be calculated as total distance over total time. (D)</p> Signup and view all the answers

How can you determine if two graphs, one of distance versus time and another of speed versus time, represent the motion of the same object?

<p>Both graphs must be linear and have the same slope. (B)</p> Signup and view all the answers

When is acceleration considered to be occurring?

<p>With any change in speed or direction of an object. (A)</p> Signup and view all the answers

Flashcards

Line of Best Fit

A line drawn on a scatter plot that best represents the relationship between data points.

Acceleration

The rate at which an object's velocity changes. This can be a change in speed, direction, or both.

Velocity

The speed at which an object travels in a particular direction. It combines both speed and direction.

Speed on Distance-Time Graph

The slope of the best-fit line on a distance-versus-time graph represents the speed of an object.

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Scatter Plot

A type of graph that shows the relationship between two variables, where data points are not connected by lines.

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Distance-Time Graph

A line graph that shows the distance traveled by an object over time.

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Calculating Acceleration

The change in velocity divided by the time it takes to change.

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Distance-Time Graph

The relationship between distance and time for an object in motion can be represented using this type of graph.

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Speed

The distance an object travels in a specific unit of time. It's a type of rate that represents how much something changes per unit of time.

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Slope

The steepness of a line on a graph, representing the change in one variable over another. It's often used to calculate speed from a distance-time graph.

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Average Speed

The overall speed of an object over a specific period, calculated by dividing the total distance traveled by the total time.

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Instantaneous Speed

The speed of an object at a specific moment in time.

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Variable

A quantity that can change in value, like speed, distance, or time.

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Study Notes

Unit 2: Forces and Motion - Lesson 2: Speed, Velocity, and Acceleration

  • Objectives: Students will determine average speed from calculations and distance-versus-time graphs. Students will compare and contrast velocity, speed, and acceleration using text evidence. Students will interpret graphs to determine acceleration.
  • Guiding Questions: How do you determine speed from calculations and distance-versus-time graphs? How is velocity related to speed and acceleration? How can you interpret graphs to determine acceleration?
  • Vocabulary: speed, slope, velocity, acceleration, average, variable
  • Calculating Speed: Speed is the distance an object moves per unit of time. It is a type of rate, where a rate tells the amount of something that occurs in one unit of time.
  • Calculating Speed (formula): Speed = Distance / Time. Units for speed express distance over time (e.g., kilometers per hour, meters per second).
  • Example Problems: Various example problems illustrating calculations of speed are provided, involving different distances and times.
  • Instantaneous and Average Speeds: Average speed is calculated by dividing the total distance travelled by the total time. It does not reflect speed at every moment in time. Instantaneous speed is the speed at a specific time.
  • Example Problems (continued): Additional problems, including examples of a race car at the Daytona 500 and an airplane on a runway.
  • Calculating Speed from Distance-Time Graphs: Points on a scatter plot (distance-time) are not connected. A line of best fit can help predict outcomes based on the data. The slope of this line represents the speed.
  • Calculating Speed from Distance-Time Graphs (formula): Speed = rise / run = change in distance / change in time.
  • Describing Velocity: Velocity is the speed of an object in a given direction. It incorporates both speed and direction. Velocity is a vector.
  • Determining Acceleration: Acceleration is the rate at which velocity changes. Changes in velocity can involve speed, direction, or both. Acceleration occurs as an object speeds up, slows down, or changes direction.
  • Calculating Acceleration (formula): Acceleration = (final speed - initial speed) / time.
  • Model It! Applying the concepts of acceleration to identify changes in speed.
  • Acceleration in Racing: Acceleration can be increasing or decreasing speed, or changing direction. Examples are provided in racing.
  • Acceleration of a Plane: A plane accelerates as it takes off, but then decelerates during flight.
  • Graphing Acceleration: Worksheet for graphing acceleration.
  • Lesson 2 Check: Questions assessing understanding of acceleration, including an average speed question for a train and a ball rolling experiment.

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