Vectors. Adding Vectors += Resultant Adding Vectors += Resultant +=
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Transcript of Vectors. Adding Vectors += Resultant Adding Vectors += Resultant +=
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Vectors
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Adding Vectors
+ =
Resu
ltant
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Adding Vectors
+ = Resultant
+ =Resultant
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Adding Vectors (now with numbers!)
+ =4 m East 3 m North
4 m
3 mr = 5 m
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Adding Vectors (now with numbers!)
+ =4 m East 3 m North
4 m
3 mr = 5 m
θ
Make sure your calculator is in DEGREES mode!!!!!!
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Measuring AnglesMeasure ALL angles starting from the positive x-axis!
+y
II180-θ90-180o
I θ0-90o
III180+θ180-270o
IV360-θ270-360o
+x -x
-y
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Vector Components
x-component
y-component
θ
Vectors are made up two components: x & y
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Vector Components
x-component = rx
y-component = ry
θ
r
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Adding Multiple Vectors
• Find x & y components of each vector• Add all x’s to get final x component• Add all y’s to get final y component• Pythagorean theorem• tan-1
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Relative Velocity• If two objects are moving towards or away
from each other, depending on your reference point, the velocity may appear to be different (relative velocity)
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Boat ProblemsTo measure “relative to shore”, measure the angle between the shore and the resultant
θ
θ