Projectile Motion: Finding Maximum Range and Angle | Homework Problem

[lauren333]

1. Homework Statement

If a certain cannon can shoot a projectile a distance of 275m when it is aimed at 66.0 degrees above the horizontal, what is the maximum range the cannon could achieve with the same projectile, and at what angle should it be aimed to do this?


2. Homework Equations :
x = Vo(Cos@)t , where @ = angle
X=Xo + (Vox)t


3. The Attempt at a Solution : answers given in textbook: 370 m, 45 degrees...I'm still trying to solve the problem, and not knowing time (t) is what leaves me stuck

Thank you very much for your help! I really appreciate it! :)

 

[Redbelly98]

Welcome to PF

Many textbooks actually discuss the range of projectiles, and give an equation for range as a function of angle and velocity.

 

[kallistos]

Hello! Be sure to read the https://www.physicsforums.com/showthread.php?t=5374" of the group sometime:

Any and all assistance given to homework assignments or textbook style exercises should be given only after the questioner has shown some effort in solving the problem.

Are you sure you have all the equations necessary to solve the problem, by the way?

 

[jontyjashan]

Moderation Note: Complete solution removed. Hootenanny

 

[rock.freak667]

jontyjashan, you did not need to post the full solution.

 

[jontyjashan]

why shouldn't i post full solution

 

[Redbelly98]

It's against the rules of Physics Forums! Also, it doesn't help the OP think about and learn the material, which is the reason behind the rule.

From the Homework Help section at https://www.physicsforums.com/showthread.php?t=5374:

On helping with (homework) questions: Any and all assistance given to homework assignments or textbook style exercises should be given only after the questioner has shown some effort in solving the problem. If no attempt is made then the questioner should be asked to provide one before any assistance is given. Under no circumstances should complete solutions be provided to a questioner, whether or not an attempt has been made.