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# Resolving Vectors - PowerPoint PPT Presentation

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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### Resolving Vectors

Chapter 4

• 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?

• Use R2 = A2 + B2=

• A and B are…

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

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

• Start by drawing a picture!

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? Pythagorean’s Theorem to solve for this one…

• Keep these things in mind:

• 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…

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

7m

6 m

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