Understanding Vectors and Kinematics: A Simple Guide [SOLVED]

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Vectors and two-dimensional kinematics can be confusing, particularly when determining the components Vx and Vy from the initial velocity Vo and an angle. To find Vx, multiply Vo by the cosine of the angle measured from the horizontal axis, while Vy is calculated by multiplying Vo by the sine of the angle. If the angle is given from the vertical axis, subtract it from 90 degrees to convert it to the horizontal reference. Understanding these relationships is crucial, and while shortcuts exist for those uncomfortable with trigonometry, a solid grasp of the concepts will enhance comprehension. Further clarification can be provided if needed.
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[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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