What Is the Best Angle for Maximum Projectile Motion?

AI Thread Summary
The discussion focuses on determining the optimal launch angle for maximizing horizontal displacement in projectile motion. It asserts that there exists a specific angle, referred to as theta 0ba, which yields the greatest horizontal distance and hang time for a given initial velocity. The reasoning behind this optimal angle is that both lower and higher launch angles result in reduced horizontal displacement due to the effects of gravity and the trajectory shape. Participants suggest using kinematic equations and simulation tools to explore the relationship between launch angles and distance. Understanding these principles is crucial for effectively analyzing projectile motion.
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Projectile Motion "best angles"

Homework Statement


Collect sufficient and relevant empirical data to support the claim that for any initial velocity V there is a "best angle" theta 0ba that yields the largest horizontal displacement (change in x). Support the claim that there is a "best angle" that yields the largest hang time.
Describe why there is a best angle theta 0 ba. Why do both smaller and larger launch angles give less horizontal displacement.

Homework Equations


Well I was just given this without any real explanation and thus I don't really know what equations to use. He mentioned that there are some websites that could help with this.

The Attempt at a Solution


I just need some help on how I can explain why there is a best angle and why smaller and larger launch angles give less horizontal displacement.
 
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Have a play about on http://galileoandeinstein.physics.virginia.edu/more_stuff/Applets/ProjectileMotion/jarapplet.html" page. If you're familiar with the kinematic equations then you can set them up and try and solve for the greatest horizontal distance. or graph the distance as a function of angle.
 
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