What is the maximum range of a projectile gun with a speed of 315m/s?

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To calculate the maximum range of a projectile fired from a gun at 315 m/s, the launch angle is crucial, as it determines the trajectory. The optimal angle for maximum range on level ground is typically 45 degrees. Without this angle, the problem cannot be solved directly, as the x and y components of the velocity must be calculated. The time of flight can be determined using kinematic equations, which then allows for the calculation of the range. Therefore, additional information or assumptions about the launch angle is necessary to complete the calculation.
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Homework Statement


A gun fires a shell with a speed of 315m/s. Neglecting the effects of air resistance, calculate the maximum range of this gun

Homework Equations



t=(vf-vi)/a
v=d/t

The Attempt at a Solution


it doesn't give me an angle so I am kind of confused on how to solve this problem. I know that to solve this question, i need to figure out the angle the shell is fired at, then use the given velocity to find the x and y component velocities, find time using velocity and acceleration (the first equation), and then use that time to find the range of the gun by solving for d in the second equation. I don't think i have enough information?
 
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You either:
1. Happen to have memorized the angle that gives a projectile its maximum range when fired over level ground;
2. Look up the optimal angle in your text or via the web.
3. Derive the formula for maximal angle from scratch.

Some options require more effort... :smile:
 

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