Rank velocities of projectiles at landing?

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Homework Help Overview

The discussion centers around ranking the velocity vectors of projectiles at the landing zone based on their trajectories and initial speeds. Participants are exploring the physics of projectile motion and how different parameters affect the landing velocities.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to understand how to rank the velocities from a provided graph but expresses confusion about the approach. Some participants question how increasing initial speed affects the trajectory, while others discuss the implications of trajectory shapes on velocity ranking.

Discussion Status

Participants are actively engaging with the problem, offering insights about the relationship between projectile distance and trajectory shape. Some have proposed rankings based on their reasoning, but there appears to be uncertainty regarding the correct order without additional information about the dimensions involved.

Contextual Notes

There is mention of a test approaching, which may impose time constraints on the original poster. Additionally, participants note the need for specific ratios of width to height to accurately determine the ranking of velocities, indicating that certain information is missing for a complete analysis.

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Homework Statement


I will attatch the picture. Can someone please help me UNDERSTAND how to rank the velocity vectors at the landing zone?? I am having a really hard time with physics >=[ i don't know how to just look at this graph and rank the velocities.

Homework Equations

The Attempt at a Solution


I was using dummy variables for angles/components/time but realized that's not a good idea. Please someone help me understand how to approach this? i have a test in 2 days!
 

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This looks like an unusual question. If you fire a projectile (at any given angle), what happens to its trajectory as you increase its initial speed?
 
PeroK said:
This looks like an unusual question. If you fire a projectile (at any given angle), what happens to its trajectory as you increase its initial speed?
The distance that the projectile travels increases right? But all of these distances are the same. I feel like since A will have the most time decreasing since it reaches its maximum before B, A>B. Since D is constantly decreasing i was thinking the magnitude of its vector will be greater than C at landing. i ranked it A>B?D>C and it was wrong.
 
isukatphysics69 said:
The distance that the projectile travels increases right?

Yes, but what about the shape of the trajectory? Perhaps think about trajectory B in your diagram, as an example.
 
Clearly D>C and A>B, but no further comparisons are possible without making some estimate of the width to height ratio.
Let the width be x and the heights be y and 2y. For each case you will find ##v^2=gy\left(\alpha+\beta\frac{x^2}{y^2}\right)##, for some constants α, β. Only by knowing an approximate value for x/y can you settle the whole sequence.
 

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