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All physics quantities fall into one of two categories:
Scalar – a quantity that can be described with a single
number (size, magnitude).
      Ex. I drove 15 miles.
             This is the quantity known as distance
Vector – a quantity that includes a number and a
direction.
      Ex – I drove 10 miles south.
      This quantity is known as displacement


Displacement can be defined two ways
      1) distance traveled in a particular direction
      2) final location relative to a starting point
Which person traveled the greatest distance?
Which person had the greatest displacement?
Vectors are represented by an arrow
      - the length represents the size or magnitude
      - the angle represents the direction
Vector Addition
Resultant: the term given for the final sum vector when
adding 2 or more vectors together
 Question: 4 cm + 5 cm = ?
 WRONG!!!
 4 cm north + 5 cm north = ?
 9 cm north
 4 cm north + 5 cm south = ?
 1 cm south
I walk 3 blocks south, 4 blocks east and
3 blocks north.
a)What is my distance convered?
b)What is my displacement?
A duck walks 60 m north and then 40 m
east. Using a scale of 1 cm = 10 m, draw
the displacement vectors of the duck.


What is the resultant displacement?
What is the angle between the resultant
and north?
Adding vectors – the parallelogram method
Add two vectors:
100 mi east
50 mi at 45o north of east


Find the length and direction of the
resultant using a ruler and protractor.
Resultant = 145 +/- 5
Direction = 15o
A = 80 mi west
B = 60 mi at 45o south of east
A+B=?


Find the length and direction of the
resultant using a ruler and protractor.
How does the displacement of a moving object
compare to its distance covered?

          Displacement <= distance
Speed – a measure of how fast something moves

     - the rate at which distance is covered

You drive 180 miles in 3 hours. What is your
average speed?
Average speed = 60 mile/hour

Unit for speed in SI system is meters/second

Convert this speed to meters/second
    1 mile = 1609 m
    1 hour = 3600 s
Instantaneous speed
      - speedometer

Is speed a scalar or vector?

Velocity
     - speed with a direction
     - vector
A baseball is thrown at 90 mi/hr. How long
does it take to travel the 60.5 ft from the
pitcher’s mound to home plate? (3.3 ft = 1 m)

v = 40 m/s
d = 18.3 m

t = 0.46 s


Impossible!!!
Scalar and vector physics quantities

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Scalar and vector physics quantities

  • 1.
  • 2. All physics quantities fall into one of two categories: Scalar – a quantity that can be described with a single number (size, magnitude). Ex. I drove 15 miles. This is the quantity known as distance
  • 3. Vector – a quantity that includes a number and a direction. Ex – I drove 10 miles south. This quantity is known as displacement Displacement can be defined two ways 1) distance traveled in a particular direction 2) final location relative to a starting point
  • 4. Which person traveled the greatest distance? Which person had the greatest displacement?
  • 5. Vectors are represented by an arrow - the length represents the size or magnitude - the angle represents the direction
  • 6.
  • 7. Vector Addition Resultant: the term given for the final sum vector when adding 2 or more vectors together Question: 4 cm + 5 cm = ? WRONG!!! 4 cm north + 5 cm north = ? 9 cm north 4 cm north + 5 cm south = ? 1 cm south
  • 8. I walk 3 blocks south, 4 blocks east and 3 blocks north. a)What is my distance convered? b)What is my displacement?
  • 9. A duck walks 60 m north and then 40 m east. Using a scale of 1 cm = 10 m, draw the displacement vectors of the duck. What is the resultant displacement? What is the angle between the resultant and north?
  • 10. Adding vectors – the parallelogram method
  • 11. Add two vectors: 100 mi east 50 mi at 45o north of east Find the length and direction of the resultant using a ruler and protractor.
  • 12. Resultant = 145 +/- 5 Direction = 15o
  • 13. A = 80 mi west B = 60 mi at 45o south of east A+B=? Find the length and direction of the resultant using a ruler and protractor.
  • 14.
  • 15. How does the displacement of a moving object compare to its distance covered? Displacement <= distance
  • 16. Speed – a measure of how fast something moves - the rate at which distance is covered You drive 180 miles in 3 hours. What is your average speed?
  • 17. Average speed = 60 mile/hour Unit for speed in SI system is meters/second Convert this speed to meters/second 1 mile = 1609 m 1 hour = 3600 s
  • 18. Instantaneous speed - speedometer Is speed a scalar or vector? Velocity - speed with a direction - vector
  • 19. A baseball is thrown at 90 mi/hr. How long does it take to travel the 60.5 ft from the pitcher’s mound to home plate? (3.3 ft = 1 m) v = 40 m/s d = 18.3 m t = 0.46 s Impossible!!!