The above coordinates are NOT the location of the cache but may be not too far from a good place to park.
A cannon at UTM 13S E 512414, N 4305564 fired a cannon ball at 30 degrees angle of elevation with a muzzle velocity of 300 meters/second in a direction of 115 degrees.
At the exact location in which that cannon ball landed and exploded another cannon was immediately wheeled into position.
Note: The final three numbers of the UTM easting coordinate for where the first cannon ball landed and the second cannon were placed are 608 and the final two numbers of the UTM northing coordinate are 10. If your answer is slightly different than this due to calculation differences, adjust your answer using these final numbers before proceeding to the next step.
The second cannon fired at an angle of elevation in order to achieve maximal range and in a direction of 217 degrees. That cannon ball reached a peak altitude of 4000 meters before landing.
At the exact location in which that cannon ball landed and exploded – you guessed it! - another cannon was immediately wheeled into position.
Note: The final threee numbers of the UTM easting coordinate for where the second cannon ball landed and the third cannon were placed are 990 and the final two numbers of the UTM northing coordinate are 46. If your answer is slightly different than this due to calculation differences, adjust your answer using these final numbers before proceeding to the next step.
The third cannon fired in a direction of 295.48 degrees at 70 degrees angle of elevation. That cannon ball stayed in the air for 35.26 seconds before landing in some rocks and not exploding.
Can you find the location where the third cannon ball landed?
Note: The final three numbers of the UTM easting coordinate for where the third and final cannon ball landed are 984 and the final three numbers of the UTM northing coordinate are 402.
Calculations: For the calculations, I used UTM coordinates, and after each individual calculation for time, velocity, gravity or distance, the result was rounded to two decimal positions, e.g. 259.80762 becomes 259.81 and 280.142 becomes 280.14. Trigometric functions were used and weren’t rounded. Acceleration due to gravity equals -9.81 m/s^2 (1/2 times 9.81 equals 4.905 which rounds to 4.91). Only the final answer for each of the three shots was then rounded to the nearest meter. Disregard effects of air friction on projectile, changes in topographical elevations, etc.
Disclaimer: Despite the use of cannons and high explosive shells, no life or structures were damaged or destroyed in the making of this cache.
Additional Waypoints
PK4G464 - GC4G464 Parking
N 38° 45.423 W 104° 54.223
Cannons!
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