Projectile motion of a volleyball

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SUMMARY

The optimal angle for maximizing the time a volleyball remains airborne, given an initial speed of 10 meters per second, is 90 degrees above the horizontal. This angle allows the ball to ascend vertically, maximizing hang time rather than horizontal distance. The discussion clarifies that while a 45-degree angle is often associated with maximum range, it does not provide the longest airtime. Participants emphasized the importance of understanding the distinction between airtime and distance in projectile motion.

PREREQUISITES
  • Understanding of basic physics concepts, specifically projectile motion.
  • Familiarity with vector representation of angles.
  • Knowledge of the relationship between angle and trajectory in projectile motion.
  • Basic mathematical skills to interpret speed and angle calculations.
NEXT STEPS
  • Study the principles of projectile motion in physics textbooks.
  • Explore the effects of different launch angles on projectile trajectories using simulation tools.
  • Learn about the equations of motion for vertical and horizontal components in projectile motion.
  • Investigate real-world applications of projectile motion in sports and engineering.
USEFUL FOR

This discussion is beneficial for physics students, educators, and sports coaches who seek to understand the dynamics of projectile motion and optimize performance in activities involving airborne objects.

majormuss
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Homework Statement




A volleyball hit into the air has an initial speed of 10. meters per second. Which vector best represents the
angle above the horizontal that the ball should be hit to remain in the air for the greatest amount of time?
1)90 degree above horizontal 2) 60 above horizontal 3) 45 degree above horizontal 4) 30 degree above horizontal

Homework Equations





The Attempt at a Solution


i chose '3'... which is it? and why?
 
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Be careful what the question asks. The question is which one will allow the ball to remain in the air the longest, not travel the farthest distance.

Use your intuition. For problems like this, that's all you need. If I throw a ball, either horizontal, at an angle, or straight up, which one will remain in the air the longest?
 

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