PLEASE HELP Projectile Motion: Two-dimensional Kinematics

AI Thread Summary
The discussion centers on understanding the relationship between horizontal and vertical components of velocity in projectile motion. It clarifies that while these components can be treated separately, they are indeed related to the overall velocity. The participants confirm that to calculate each component, knowledge of the overall velocity is necessary. A velocity triangle can be used to visualize this relationship, illustrating how the components combine to form the resultant velocity. The consensus is that the correct answer to the quiz question is option B, indicating the components are related to the overall velocity.
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PLEASE HELP! Projectile Motion: Two-dimensional Kinematics

The horizontal and vertical components of velocity...
A) have no relationship to each other.
B) are related to the overall velocity, but can be treated separately.
C) are related to the overall velocity.

I know it's either A or B but the wording is confusing me! PLEASE HELP! It is an online quiz
 
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Given the horizontal and vertical components of velocity, is there a way to calculate the magnitude of the overall velocity? Draw a velocity triangle.

If there is, then the answer must be b.
 


Thanks for replying so fast!
There are no values given, it is just a theoretical question...I know that to calculate each component you need to have the value of the overall velocity - is that right? So, does that mean they are "related" to the overall velocity? I'm just not sure what he means...
 


"I know that to calculate each component you need to have the value of the overall velocity - is that right?"

Yes.

"So, does that mean they are "related" to the overall velocity?"

Yes.
 


Consider an x-y plane. If you move a particle directly to the right, it doesn't influence that particle's motion upward or downward (y) at all. Similarly, if you move the particle directly upward, it doesn't influence it in the left or right directions (x). But either of these will influence the overall velocity, which is made up of both x and y velocity components.

v = \sqrt{v_{x}^{2} + v_{y}^{2}}
 

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