1 / 8

# Vectors - PowerPoint PPT Presentation

Vectors. Adding Vectors. Parallelogram Method. Head to Tail. A+B=B+A Vector Addition Commutes. Components. Components Add A + B = R. ⃗ ⃗ ⃗. Chap 3:10. Our Equations are Vector Equations. v avg = (v 1 + v 2 ) / 2

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Vectors

Parallelogram Method

Components AddA + B = R

⃗ ⃗ ⃗

Chap 3:10

• vavg = (v1 + v2) / 2

• To multiply or divide a vector by a number

• Multiply or divide the magnitude

• Leave the direction the same

• An arrow is shot with an intial speed of 60 m/sec at an angle of 60° with the horizontal. After 4 seconds how fast is it going?

• v2 = v1 + gt

• Scale 10m/sec = 1cm

• t = 4 s

• g = 10m/s2 down

• gt = 10m/s2 ∙ 4s = 40m/sdown

• v2 = v1 + at

• v1 = 60 m/sec 60° N of E

• Horizontal = v1x = v1 ∙ cos 60° = 30 m/s

• Vertical = v1y = v1 ∙ sin 60° = 52 m/s

• a= g = 10 m/s2 down

• Horizontal = ax =0 Vertical = ay = −10 m/s2

• at = 10m/s2 ∙ 4s

• Horizontal = axt=0 Vertical = ayt= −40 m/s

horizvert

v1 v1x = v1∙cos60° v1y=v1∙sin 60°

30 m/s 52 m/s

at axt=0 ayt= −40 m/s

v2=v1+at 30 m/s 12m/s

Magnitude = v2 = √(302 +122) = √1044 = 32.3m/s

Direction of v2 tan θ =v2y/v2x = 12/30= .4

θ=tan-1 .4 = 21.8°