1 scalars, vectors, distance, displacement

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Notes on Frames of Reference, Vectors, Scalars, Distance, and Displacement.

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1 scalars, vectors, distance, displacement

  1. 1. PHYSICS Frames of Reference,Vectors, Scalars, Distance, and Displacement
  2. 2. FRAMES OF REFERENCE How can you tell that an object is in motion?
  3. 3. FRAMES OF REFERENCE In order to tell that an object is in motion you must be able to compare it to another object that is stationary. Stationary object = Reference Point
  4. 4. FRAMES OF REFERENCE
  5. 5. VECTORS & SCALARS What is a scalar? Any quantity that has magnitude (size). NOTE:There is no direction associated with a scalar. Scalar Example Magnitude Speed 20 m/s Distance 10 m Age 15 years
  6. 6. VECTORS & SCALARS What is a vector? A vector is any quantity that has both magnitude (size) AND direction. Vector Example Magnitude & Direction Velocity 20 m/s, North Acceleration 10 m/s/s, East Displacement 5 km, North East
  7. 7. VECTORS & SCALARS What are some applications of vectors and scalars? Distance - How far something has traveled. an amount of space between two things or people. Displacement - the amount by which something is moved from its normal position (starting position). Straight line.
  8. 8. VECTORS & SCALARS 10km 5km What is the distance traveled? What is the displacement? 2km8km
  9. 9. VECTORS & SCALARS Applications ofVectors Vector addition - If 2 similar vectors point in the same direction, add them. 2km8km 10km
  10. 10. VECTORS & SCALARS Vector subtraction - When two vectors point in opposite directions, subtract them. Example: Johnny travels 10km to the store. On his way back home he gets a flat tire 5km from the store. What is the distance he traveled until he got his flat tire? What is the displacement relative to where he started? 10km 5km
  11. 11. VECTORS & SCALARS When your vectors are non-collinear (not lying in the same straight line) you cannot add or subtract. When vectors are perpendicular, Pythagorean’s Theorem must be used. a2 + b2 = c2 therefore c = SQRT(a2 + b2)
  12. 12. VECTOR & SCALARS 10km 5km c c = SQRT(102 + 52) = SQRT(100 + 25) = SQRT(125) c = 11.18km
  13. 13. VECTORS & SCALARS A bear, searching for food wanders 35 meters east then 20 meters north. Frustrated, he wanders another 12 meters west then 6 meters south. Calculate the bear's displacement. Example 35m 20m 12m6m

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