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When a cannon is on the ground, the cannonball lands the farthest from the cannon if it's shot at a 45∘ angle.
Now, when the cannon is on a cliff, what shooting angle θ makes the cannonball land the farthest?
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Can 2,3,5 all be numbers in an arithmetic progression?
Note: The three numbers do not need to be consecutive in the progression.
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A cube with side length 1 is sliced such that the cut is a regular hexagon (in red).
What is the side length of this regular hexagon (to 4 decimal places)?
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3x+3x+3x+⋯ = 3x 3x 3x…
The non-zero solution x of the equation above can be written as 2a+b, where a and b are positive integers.
What is a+b?
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The infinite Atwood’s machine shown has a string passing over each pulley, with one end attached to a mass and the other end attached to another pulley.
The masses are held fixed and then released simultaneously, and the acceleration of the top mass is λg.
What is λ?
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