Resolving vectors
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Resolving Vectors. Chapter 4. Vectors in the same plane, same direction?. 5 m. 4 m. 9 m. Vectors in same plane, opposite direction?. 7 m. 5 m. 2 m. Example 1.

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Example 1
Example 1

  • Jim Jimson is riding the DART train. The train is traveling at 4 m/s past the station. As the train passes the station, Jim gets up and walks towards the rear (heh, heh) of the car at 1 m/s. How fast does Jim appear to be moving relative to an observer outside the train?




Vectors at right angles to each other
Vectors at right angles to each other?

  • Use R2 = A2 + B2=

  • A and B are…

  • R stands for resultant (the combination of A and B)


Example 2
Example 2

  • A car is driven 125 km due west, then 65 km due south. What is the magnitude of it’s displacement?


What the
What the...???

  • Start by drawing a picture!



125 km

65 km



  • R Pythagorean’s Theorem to solve for this one…2 = 1252 + 652

  • R2 = 19,850 (we don’t want R2, we want R)

  • R = 140.8 km


Graphically adding vectors
Graphically adding vectors? Pythagorean’s Theorem to solve for this one…

  • Keep these things in mind:

  • Vectors are always added head to tail

  • Add the vectors in the specified order

  • Keep you vectors sized appropriately


Example 3
Example 3 Pythagorean’s Theorem to solve for this one…

  • Graphically add the following vectors:

    A to B to D

5 m

C

7m

B

A

5 m

6 m

D


Answer2
Answer… Pythagorean’s Theorem to solve for this one…


5 m Pythagorean’s Theorem to solve for this one…

7m

6 m


Have fun
Have Fun! Pythagorean’s Theorem to solve for this one…


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