SECTION 2.2 WHERE AND WHEN - PowerPoint PPT Presentation

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SECTION 2.2 WHERE AND WHEN

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Use a motion diagram to answer questions about an object's position or displacement. ... You can indicate how far away an object is from the origin at a ... – PowerPoint PPT presentation

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Title: SECTION 2.2 WHERE AND WHEN


1
SECTION 2.2 WHERE AND WHEN
  •  Objectives
  • Define coordinate systems for motion problems.
  • Recognize that the chosen coordinate system
    affects the sign of objects positions.
  • Define displacement.
  • Determine a time interval.
  • Use a motion diagram to answer questions about an
    objects position or displacement.

2
COORDINATE SYSTEM
  • Coordinate System - tells you the location of the
    zero point of the variable you are studying and
    the direction in which the values of the variable
    increase.
  •  
  • Origin - is the point at which both variables
    have the value zero.
  •  
  • You can indicate how far away an object is from
    the origin at a particular time on the simplified
    motion diagram by drawing an arrow from the
    origin to the point representing the object, as
    shown in figure. 2.6
  •  
  • Position - is the separation between an object
    and the origin. It can be positive or negative.
    It is a vector quantity.
  • Distance describes how far an object is from
    its origin. It is a scalar quantity.

3
VECTORS AND SCALARS
  • Magnitude a measure of size.
  •  
  • Vectors quantities that have both magnitude
    (size) and direction.
  •  
  • Scalars quantities that have only magnitude
    (size).
  •  
  • To add vectors graphically, the length of a
    vector should be proportional to the magnitude of
    the quantity being represented. So it is
    important to decide on the scale of your
    drawings.
  •  
  • The important thing is to choose a scale that
    produces a diagram of reasonable size with a
    vector that is about 510 cm long.
  • Resultant the vector that represents the sum of
    the other vectors. The resultant always points
    from the Tail of the First vector to the tip or
    head of the Last vector.

4
TIME INTERVALS AND DISPLACEMENT
  • Time Interval the difference between 2 times.
    It is equal to the final time minus the intial
    time. We will use the equation ?t tf
    ti
  •  
  • Displacement a change in position having both
    magnitude and direction. It is equal to the
    final position minus the initial position. It
    is a vector quantity. We will use the equation
    ?d df di
  •  
  • How do you subtract vectors? Reverse the
    subtracted Vector and Add.
  • To completely describe an objects displacement,
    you must indicate the distance it traveled and
    the direction it moved. Thus displacement is not
    the same as distance, it is Distance and
    Direction.

5
QUESTION 1
  • Differentiate between scalar and vector
    quantities.
  • Quantities that have both magnitude and direction
    are called vectors, and can be represented by
    arrows. Quantities that are just numbers without
    any direction, such as time, are called scalars.

6
QUESTION 2
  • What is displacement?
  • Displacement a change in position having both
    magnitude and direction.
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