Question 9
The original asks for the curve on which a ball released from different points always reaches A in the same time. Choices: A hyperbolic; B catenary; C parabolic; D conic; E cardioid. Explain the correct curve and whether any listed name works. AI reconstruction: use an ideal point bead sliding without friction in uniform gravity, released from rest at a non-bottom point on either smooth branch of one inverted cycloid arch. This replaces the unspecified finite rolling ball; the sketch is only schematic.

