Calculating Projectile Trajectory Without Air Resistance

AI Thread Summary
To calculate the trajectory of a projectile without air resistance, the key formula is the range equation: R = (v^2 * sin(2θ)) / g, where R is the range, v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity (approximately 32.2 ft/s²). For a cannon fired at 1440 ft/s on level ground at a 45-degree angle, the round will land at a distance of 1440^2 / 32.2 feet. The discussion emphasizes the importance of understanding the launch angle and initial velocity for accurate calculations. Resources like HyperPhysics are recommended for further exploration of projectile motion concepts. This approach provides a straightforward method to determine where the projectile will land.
stamter3
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Greetings,

Before I begin my problem, I would like to confess that I understand almost nothing about physics. My math is limited to what I am doing in class right now as a ninth grader ( I understand quadratics...). I am doing a research project, and I need some help.

Homework Statement



What I am looking for is the trajectory formula when firing a cannon with no air resistance. For example, If I fired a cannon on level ground, and fire a round at 1440 ft/s, where will my round land if it does not encounter any obstacles.


Homework Equations



Please show me a formula I can use for this, and where i plug in the numbers.

Thanks in advance.
 
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Thanks its perfect!
 
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