Understanding Vectors and Kinematics: A Simple Guide [SOLVED]

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SUMMARY

This discussion clarifies the calculation of vector components in two-dimensional kinematics, specifically focusing on the initial velocity (Vo) and its components, Vx and Vy. When given an angle from the horizontal axis, Vx is calculated as Vo multiplied by the cosine of the angle, while Vy is calculated as Vo multiplied by the sine of the angle. A shortcut for those uncomfortable with trigonometry is provided, emphasizing the importance of understanding the angle's reference point. The discussion concludes that a solid grasp of trigonometry enhances the understanding of these concepts.

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  • Understanding of basic vector concepts
  • Familiarity with two-dimensional kinematics
  • Knowledge of trigonometric functions (sine and cosine)
  • Ability to interpret angles in relation to the horizontal axis
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  • Study the derivation of vector components in physics
  • Practice solving problems involving initial velocity and angle
  • Learn about graphical representations of vectors
  • Explore advanced kinematics equations and their applications
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Students studying physics, educators teaching kinematics, and anyone seeking to improve their understanding of vector analysis and trigonometric applications in motion.

LeMans Audi
[SOLVED] please help with vectors

ok right now vectors and two dimensional kinematics are really confusing me i know most if not all of the equations however i don't understand what is suppose to be placed instead of Vo or Vy. can somebody please help.[?]
 
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I'm guessing that you mean "how to find Vx and Vy" when you are given Vo plus an angle?

If you do not like trigonometry, here's a shortcut to remembering:
first, make sure that the angle you have is the angle from the horizontal axis (the "x" axis, or the east-west axis). If you are given the angle from the vertical axis, subtract that angle from 90 to get the other.

If you are using the angle "from the horizontal" then the x component (Vx) will always be the magnitude of the original vector (Vo) times the cosine of the angle.

The vertical component (Vy) will be Vo times the sine of the angle.

Note, this is a short-cut for those who don't "get" the trigonometry. Things go better if you do "get" the trig, so if this does not help you, we could take this further.
 
u can see it graphically
 

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