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## PowerPoint Slideshow about ' Resolving Vectors' - candice-cross

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### Resolving Vectors

Chapter 4

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?

- Use R2 = A2 + B2=
- A and B are…
- R stands for resultant (the combination of A and B)

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...???

- Start by drawing a picture!

65 km

- Since these vectors are at right angles, we can use Pythagorean’s Theorem to solve for this one…

- 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? 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 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

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

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

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