Motion in One Dimension

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Motion in One Dimension
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Coordinate systems

• locate the zero point and the direction of
  increasing value
• two dimensions - horizontal and vertical motion
  (jumping)
• position vector - length is proportional to the
  distance from the origin and points to the
  direction of movement
• negative and positive positions

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Time Intervals and Displacement

• displacement - distance and direction between two
  positions
• time interval - ?t t1 - t0
• displacement - change in distance
• ?d d1 - d0

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Speed and Velocity

• Speed is how fast (Scalar)
• Velocity is how fast and in what direction
  (Vector)

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Basic Equation

• When an object travels with a constant speed of v
  over a time of t, the distance, d, for the object
  can be calculated using the following equation

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Sample Problem

• So, for example, if an object moved with a
  constant velocity of 5 m/s for 3 s, then it would
  be displaced 15 m. Here is an example of that
  calculation

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Various Forms of Equations

• The above equation could be rearranged using
  algebra into other forms. Here are all of its
  forms