Which Football Kicks Higher, Travels Farther, or Stays Airborne Longer?

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Homework Help Overview

The discussion revolves around the physics of projectile motion, specifically analyzing the trajectories of two footballs kicked at different angles but with the same initial speed. Participants are exploring which football reaches a higher elevation, travels farther, stays airborne longer, and has a greater horizontal component of velocity.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to determine the outcomes based on varying angles of projection and are questioning how these angles affect the different aspects of the footballs' trajectories. There is also discussion about the dependency of results on the angles used.

Discussion Status

The discussion is ongoing, with participants sharing their calculations and interpretations. Some have expressed uncertainty about the missing information in the problem, while others are exploring different angle scenarios to understand their impact on the results.

Contextual Notes

There is mention of specific angles used in calculations, and a participant notes that the question may lack sufficient information to draw definitive conclusions. The role of angle in determining the horizontal component of velocity is also under consideration.

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Homework Statement



Two footballs, A and B, are kicked from level ground with identical initial speeds, but with θA greater than θB.
Which football reaches a higher elevation?
Which football travels farther?
Which football stays in the air longer, i.e., has the greater hang time?
Which football has the greater horizontal component of velocity?

Homework Equations



vx0=v0cos(angle)
vy0=v0sin (angle)
t=vy0/g
y=((vy0^2)-vy^2)/g
x=vx0*t

The Attempt at a Solution



I thought the answers were Football A, Football B, Football A, and then Football B, but these were wrong. I did a plug-in for this problem and I used 60 degrees for Angle A and 50 for Angle B with an initial velocity of 20 m/s. When I did all of the calculations out, I got the results I said above.
 
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Your answers are right, although i would like to know the text answers. Could you please post them?
 
needhelpfast said:

Homework Statement



Two footballs, A and B, are kicked from level ground with identical initial speeds, but with θA greater than θB. Which football travels farther?

I thought the answer ( was).. Football B, I used 60 degrees for Angle A and 50 for Angle B with an initial velocity of 20 m/s. When I did all of the calculations out, I got the results I said above.
Try using Angle A =45 degrees and Angle B =0 degrees. Which one travels farther? The question is missing information.
 
There is an option that says "depends on the angle."
 
so since every equation above contains a vy0 or vxo, that would means that each answer is dependent on the angle?
 
needhelpfast said:
so since every equation above contains a vy0 or vxo, that would means that each answer is dependent on the angle?
No. Look at the last one, for example.
Two footballs, A and B, are kicked from level ground with identical initial speeds, but with θA greater than θB. Which football has the greater horizontal component of velocity?
They both have the same initial velocity at angle A or B. Which one would have the greater x component of the initial velocity?
 

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