Friday, December 3, 2010

Best Canon :D

In order to make a perfect canon which has the greatest horizontal range covered, one needs to keep in mind the angle of the barrel which must be 45 degrees above the horizontal. This angle would be perfect in order to make the canon go as further as it could. We can use the following formula in order to determine the angle at which the canon covers the maximum range:

R = V²sin(2θ)/g



Using this formula, we can determine the value of θ that will maximize the value of sin(2θ), which will maximize the range of the projectile since v and g do not change. The maximum value of sin(2θ) is 1, which occurs at sin(90). Therefore the value of θ must be 45 degrees above the horizontal. 

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