What Is the Best Angle for Maximum Projectile Motion?

[Gustason]

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 0_ba 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.

 

[Kurdt]

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.