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.</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>$F = ma$</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.</p> Signup and view all the answers

    What quantity does a force vector represent?

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

    What happens when an object undergoes negative acceleration?

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

    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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