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Paths in One and Two Dimensions

Paths in One and Two Dimensions. Distance and Displacement. Scalar vs. Vector. SCALAR A measured quantity that has MAGNITUDE but NO DIRECTION Can only be POSITIVE VECTOR A measured quantity that HAS MAGNITUDE & DIRECTION Can be POSITIVE OR NEGATIVE. The MADFIVE.

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Paths in One and Two Dimensions

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  1. Paths in One and Two Dimensions Distance and Displacement

  2. Scalar vs. Vector • SCALAR • A measured quantity that has MAGNITUDE but NO DIRECTION • Can only be POSITIVE • VECTOR • A measured quantity that HAS MAGNITUDE & DIRECTION • Can be POSITIVE OR NEGATIVE

  3. The MADFIVE • VECTORS you need to know in Physics • Momentum • Acceleration • Displacement • Force • Impulse • Velocity • Electromagnetism • All others are SCALARS

  4. Distance vs. Displacement • DISTANCE • The TOTAL length of the PATH traveled by a moving object • DISPLACEMENT • The length of the STRAIGHT LINE PATH from a moving object’s ORIGIN to its FINAL POSITION

  5. Sign Conventions Positive NORTH EAST RIGHT UP Negative SOUTH WEST LEFT DOWN A bird flies 5 meters north, then 7 meters south Distance = Displacement = A ball rolls 5 meters north. Distance = Displacement = A cat runs 8 meters west. Distance = Displacement = 12 m 5 m 8 m +5 m -8 m -2 m

  6. Example #1 4 mi East • A man drives his car 3 miles north, then 4 miles east. Distance 7 mi 3 mi North Displacement 5 mi Northeast Calculate the distance he traveled Calculate the displacement from his point of origin.

  7. Example #2 • Three men leave the same house on foot. The first man walks 30 feet north, then 40 feet west. The second man walks 90 feet south, then 88 feet north. The third man walks 10 feet east, then 50 feet west. • Which man has traveled the greatest distance? • Who is farthest from the house? • Who is closest to the house? The second man The first man The second man

  8. SUMMARY • Compare Distance vs. Displacement • Define Vector • Define Scalar • Identify the MADFIVE • Describe the Sign Convention

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