Discrete vs Continuous Data, Distance-Time Graphs, Unit Conversions Quiz
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Questions and Answers

What is the difference between discrete data and continuous data?

  • Discrete data can be measured, while continuous data can be counted.
  • Discrete data is countable and finite, while continuous data is uncountable and infinite. (correct)
  • Discrete data has infinite possible values, while continuous data has finite values.
  • Discrete data has a straight line graph, while continuous data has a curved graph.

What does the slope of a distance vs. time graph indicate?

  • The mass of the object
  • The speed of the object (correct)
  • The distance the object has traveled
  • The acceleration of the object

How can you convert kilometers to meters?

  • Divide by 1000
  • Multiply by 3600
  • Divide by 3600
  • Multiply by 1000 (correct)

What is the difference between speed and velocity?

<p>Speed is a scalar quantity, while velocity is a vector quantity. (D)</p> Signup and view all the answers

According to Newton's second law of motion, what is the relationship between force, mass, and acceleration?

<p>$F = ma$ (D)</p> Signup and view all the answers

In terms of forces, what does it mean when forces are balanced?

<p>Forces are equal in magnitude and opposite in direction. (C)</p> Signup and view all the answers

What quantity does a force vector represent?

<p>Magnitude and direction (C)</p> Signup and view all the answers

What happens when an object undergoes negative acceleration?

<p>$F = ma$ applies as usual. (A)</p> Signup and view all the answers

What does Newton's first law of motion state?

<p>$F = 0$ unless acted upon by an unbalanced force. (B)</p> Signup and view all the answers

Flashcards

Discrete Data

Data that is countable and finite.

Continuous Data

Data that is uncountable and infinite.

Slope of Distance-Time Graph

Indicates the speed of an object.

Speed vs. Velocity

Speed is a scalar; velocity is a vector.

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Newton's Second Law of Motion

States that force equals mass times acceleration: F = ma.

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Balanced Forces

Forces are equal in magnitude and opposite in direction.

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Force Vector

Represents both magnitude and direction.

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Negative Acceleration

Object slows down; F = ma still applies.

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Newton's First Law of Motion

An object remains at rest or in motion unless acted on by an unbalanced force: F = 0.

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Study Notes

Data Types

  • Discrete data: finite values that can be counted
  • Continuous data: infinite possible values that can be measured

Distance-Time Graphs

  • Distance: usually measured in meters
  • Time: usually measured in seconds
  • Slope: represents speed (rate of change of distance)
  • Straight line on a distance-time graph indicates constant speed

Speed and Velocity

  • Speed: magnitude of movement (distance divided by time)
  • Velocity: magnitude and direction of movement
  • Acceleration: rate of change of velocity (can be positive or negative)

Unit Conversions

  • 1 kilometer (km) = 1000 meters (m)
  • To convert meters to kilometers, divide by 1000
  • To convert kilometers to meters, multiply by 1000
  • 1 centimeter (cm) = 0.01 meters (m)
  • To convert meters to centimeters, multiply by 100
  • To convert centimeters to meters, divide by 100

Acceleration

  • Acceleration: rate of change of velocity (includes time and final velocity minus initial velocity divided by time)
  • Object accelerates when forces are unbalanced
  • Object has constant speed or is motionless when forces are balanced

Laws of Motion

Law 1: Inertia

  • Objects in motion or at rest remain in that state unless an unbalanced force acts upon them
  • Without gravity, objects would not change their motion

Law 2: Force, Mass, and Acceleration

  • Force (measured in Newtons): mass multiplied by acceleration (F = ma)
  • Mass: amount of matter in an object
  • Objects with more mass move slower, while objects with less mass move faster

Law 3: Action and Reaction

  • For every action (force) in nature, there is an equal and opposite reaction

Forces

  • Force: push or pull that can cause a change in direction, size, shape, motion, and speed
  • Measured in Newtons (N)
  • Force has magnitude and direction (vector)
  • Balanced force: net force is zero, no change in motion
  • Unbalanced force: net force is not zero, causes change in motion

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Description

Test your knowledge on discrete and continuous data, interpreting distance-time graphs, understanding speed and slope, and converting units of measurement. Practice converting meters to kilometers and seconds to hours.

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