PLEASE HELP Projectile Motion: Two-dimensional Kinematics

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SUMMARY

The discussion centers on the relationship between horizontal and vertical components of velocity in projectile motion, specifically within the context of two-dimensional kinematics. Participants confirm that while the components can be treated separately, they are indeed related to the overall velocity. The formula for calculating overall velocity is established as v = √(vx2 + vy2), illustrating how both components contribute to the resultant velocity vector. The consensus is that option B is correct, affirming the relationship between the components and overall velocity.

PREREQUISITES
  • Understanding of two-dimensional kinematics
  • Familiarity with vector components
  • Knowledge of the Pythagorean theorem
  • Basic principles of projectile motion
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn how to construct and interpret velocity triangles
  • Explore the effects of air resistance on projectile motion
  • Investigate real-world applications of two-dimensional kinematics
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Students studying physics, educators teaching kinematics, and anyone seeking to understand the principles of projectile motion in two dimensions.

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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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