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1 scalars, vectors, distance, displacement

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

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

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  • 1. PHYSICS Frames of Reference,Vectors, Scalars, Distance, and Displacement
  • 2. FRAMES OF REFERENCE How can you tell that an object is in motion?
  • 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. FRAMES OF REFERENCE
  • 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. 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. 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. VECTORS & SCALARS 10km 5km What is the distance traveled? What is the displacement? 2km8km
  • 9. VECTORS & SCALARS Applications ofVectors Vector addition - If 2 similar vectors point in the same direction, add them. 2km8km 10km
  • 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. 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. VECTOR & SCALARS 10km 5km c c = SQRT(102 + 52) = SQRT(100 + 25) = SQRT(125) c = 11.18km
  • 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