Cannon on a Cliff

When a cannon is on the ground, the cannonball lands the farthest from the cannon if it's shot at a \(45^\circ\) angle.

Now, when the cannon is on a cliff, what shooting angle \(\theta\) makes the cannonball land the farthest?

Details and Assumptions:

  • Neglect air resistance.
  • The cannon shoots the cannonball at the same speed regardless of the angle of projection.

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