Mathematics for IGCSE & O level - Graphs In Practical Situations (Section 2)

  • 1
    What is the relationship between the rate of change of speed and acceleration?
    Trả lời
    (A)
    Rate of change of speed is equal to acceleration
  • 2
    Which of the following represents the units for the gradient of a speed-time graph if speed is in m/s and time is in seconds?
    Trả lời
    (B)
    m/s²
  • 3
    What does the area under a speed-time graph represent?
    Trả lời
    (C)
    Distance traveled
  • 4
    In a conversion graph, what do you call the amount one unit is converted into in the other unit?
    Trả lời
    (D)
    The rate
  • 5
    On a distance-time graph, if the line curves upwards, this shows that:
    Trả lời
    (C)
    The object is speeding up
  • 6
    What does a horizontal line segment on a speed-time graph represent?
    Trả lời
    (A)
    Constant speed
  • 7
    What does a curved line on a distance-time graph represent?
    Trả lời
    (C)
    Changing speed.
  • 8
    The gradient of which type of graph is used to calculate speed?
    Trả lời
    (B)
    Distance-Time Graph
  • 9
    If an object's speed is decreasing, what will the gradient of the speed-time graph be?
    Trả lời
    (B)
    Negative
  • 10
    When analyzing a distance-time graph, what will be the shape of the graph if an object travels at a constant speed?
    Trả lời
    (B)
    A straight line with a positive slope
  • 11
    If the gradient of a speed-time graph is zero, what can be concluded about the object's motion?
    Trả lời
    (C)
    The object is moving at a constant speed.
  • 12
    What is the unit for acceleration?
    Trả lời
    (B)
    m/s²
  • 13
    What information can be obtained from a conversion graph?
    Trả lời
    B
    C
  • 14
    What can we infer from a curved line on a speed-time graph?
    Trả lời
    B
    D
  • 15
    Which option correctly describes what is shown on the y-axis of a speed-time graph?
    Trả lời
    (C)
    Speed
  • 16
    When the acceleration is negative, it is also known as:
    Trả lời
    (C)
    Deceleration
  • 17
    How do you determine the total distance traveled from a speed-time graph?
    Trả lời
    (A)
    Calculate the area under the graph.
  • 18
    What does a straight line on a distance-time graph with a negative gradient indicate?
    Trả lời
    (C)
    The object is moving towards its starting point.
  • 19
    In the context of a conversion graph, what does a steeper gradient signify?
    Trả lời
    (A)
    A higher conversion rate.
  • 20
    What information does a speed-time graph provide?
    Trả lời
    (D)
    All of the above
  • 21
    What does a decreasing gradient on a speed-time graph imply about the object's motion?
    Trả lời
    (C)
    Decreasing acceleration
  • 22
    What is the formula for calculating speed using information derived from a distance-time graph?
    Trả lời
    (B)
    Speed = Distance / Time
  • 23
    If a car travels at 30 m/s for 20 seconds, what is the distance covered?
    Trả lời
    (C)
    600 meters
  • 24
    What does the gradient of a speed-time graph represent?
    Trả lời
    (B)
    Acceleration
  • 25
    In a distance-time graph, what does a straight line with a positive gradient indicate about the motion of an object?
    Trả lời
    (B)
    The object is moving at a constant speed.
  • 26
    If an object's acceleration is zero, what does the speed-time graph look like?
    Trả lời
    (C)
    A horizontal line
  • 27
    What information can you get from the gradient of a speed-time graph?
    Trả lời
    (B)
    Acceleration
  • 28
    What is the rate of change in speed also known as?
    Trả lời
    (B)
    Acceleration
  • 29
    If a conversion graph is used to convert dollars to euros, what would be plotted on the vertical axis?
    Trả lời
    (B)
    Euros
  • 30
    What does the x-axis represent in a speed-time graph?
    Trả lời
    (B)
    Time
  • 31
    What is the relationship between distance, speed, and time?
    Trả lời
    (C)
    Time = Distance / Speed
  • 32
    When calculating the rate of change of a distance-time graph, you're finding:
    Trả lời
    (B)
    The speed
  • 33
    What should you plot on the x-axis of a distance-time graph?
    Trả lời
    (B)
    Time
  • 34
    What does the gradient of a conversion graph represent?
    Trả lời
    (B)
    The ratio between the two units.
  • 35
    What would be the best way to describe constant velocity?
    Trả lời
    (C)
    Constant speed and constant direction
  • 36
    What does the area under a speed-time graph represent, specifically?
    Trả lời
    (B)
    The total distance traveled
  • 37
    If a travel graph has a horizontal line segment, what does it indicate?
    Trả lời
    (B)
    The object is stationary
  • 38
    What does the slope of the tangent at a point on a curved distance-time graph give you?
    Trả lời
    (B)
    The instantaneous speed at that point.
  • 39
    What should be plotted on the y-axis of a conversion graph to convert pounds to dollars?
    Trả lời
    (B)
    Dollars
  • 40
    Which of the following statements about travel graphs is correct?
    Trả lời
    (C)
    A horizontal line means the object is stationary.
  • 41
    Which of the following must be considered when calculating the speed using a distance-time graph?
    Trả lời
    A
    B
  • 42
    What type of relationship is represented by a straight line on a conversion graph?
    Trả lời
    (A)
    Linear
  • 43
    Which of the following describes the motion of an object with constant velocity?
    Trả lời
    (B)
    Zero acceleration.
  • 44
    What does it mean when a line on a distance-time graph has a negative gradient?
    Trả lời
    (B)
    The object is moving back toward its starting point.
  • 45
    What type of graph would you use to convert between different currencies?
    Trả lời
    (C)
    Conversion graph
  • 46
    What does the gradient of a distance-time graph signify?
    Trả lời
    (B)
    Speed
  • 47
    What can be determined from the gradient of a speed-time graph?
    Trả lời
    (B)
    Acceleration.
  • 48
    If the graph is curving downwards, what does it indicate about the acceleration?
    Trả lời
    (B)
    Acceleration is decreasing
  • 49
    A conversion graph shows the relationship between two different units of measurement. What does the gradient of this graph typically indicate?
    Trả lời
    (B)
    The ratio for conversion between the two units.
  • 50
    Which is the correct relationship between the variables in a speed-time graph?
    Trả lời
    A
    B