Projectile Motion football question

AI Thread Summary
The discussion revolves around ranking the paths of a football kicked from ground level based on time of flight, initial horizontal velocity, and initial speed. The rankings provided indicate that all paths have the same time of flight due to equal maximum heights, despite differing initial vertical velocities. Participants clarify that the constant height and horizontal velocity components lead to consistent flight times. Concerns about the figures not appearing as perfect parabolas are addressed, with confirmation that the problem assumes no air resistance. The conversation concludes with reassurance that the analysis is correct based on the given conditions.
mmattson07
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Homework Statement


In the following questions, you will be ranking these paths a) time of flight b) initial horizontal velocity component and c)initial speed.

If multiple paths rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:1, B:1, C:3). If all paths rank equally, rank each as '1'.
Figure 4-26 shows three paths for a football kicked from ground level.

Homework Equations


FIGURE 4-26

http://edugen.wiley.com/edugen/courses/crs4957/art/qb/qu/c04/image_eprof69118_c04q_cq_1_9_eat_11831454619810_6638757528936116.jpg

The Attempt at a Solution



Time of flight: a) 1 b) 2 c)3
Initial horizontal velocity component: a) 1 b)1 c)1
Initial speed: a)1 b)2 c)3

Just want to make sure I understand this correctly. Thanks!
 
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Where is the figure?
 
It should be there under Relevant Equations. I see it fine?
 
Since maximum heights of the projectiles are the same, the time of flights must be the same. Other things are correct.
 
Okay. I thought that might be the case but since their initial vertical velocities are different I thought that might affect flight time.
 
mmattson07 said:
Okay. I thought that might be the case but since their initial vertical velocities are different I thought that might affect flight time.
Initial vertical velocities are different but v*sinθ is constant and h is also constant. So t is constant.
 
I'm not sure, but the figures seem a little off. By which I mean they don't seem perfect parabolas, but a little stunted, like when a friction component is induced. Does the question say whether friction or not?
 
The problem indicates to ignore the effects of air.
 
Ok then you should be fine
 
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