Inspired by Mads Carlsen

Calculus Level 1

Water drips into a cup (shaped like a truncated cone, as below) at a steady rate. The height of the water in the cup

  • is positive, because it is above the bottom of the cup,
  • has positive speed, because it is rising, and
  • has negative acceleration, because the rate at which the water rises is decreasing.

How is the magnitude of acceleration of the water's height changing?

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