Round: 386

Suppose there's a cannon placed at the base of Terror Mountain. We tilt the cannon at a 45-degree angle, in the direction of the top of the mountain, and fire the 6-kg cannonball. The cannonball exits the cannon at a velocity of 300 metres per second.

Terror Mountain rises at a slope of 30 degrees. Assuming that gravitational acceleration is 9.8 metres per second per second, and disregarding air resistance and the height of the cannon (in other words, assume the cannon opening is at elevation zero), and at what elevation, in metres, will the cannonball strike the side of the mountain? Please round to the nearest metre, and submit only a number with no other information.

Answer: 2241

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