Its a question about volume increase (in units cm^3) and height increase (cm) when pouring juice into a cup. Its stated that the volume of the juice in the cup increases at a constant rate, so I know the volume derivatives are zero. But the shape of the cup is inconsistent and there is alot of variance in it, so the height increase is not constant. I know the first derivative of the height increase is positive... my professor hinted that the second derivative of height increase would be negative... how is that so?(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Second derivatives when pouring juice into a cup

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Second derivatives pouring | Date |
---|---|

B Second derivative differential equations in terms of y? | Jul 21, 2017 |

I Second derivative of a curve defined by parametric equations | Mar 1, 2017 |

I Magnitude of the Second Derivative | Mar 22, 2016 |

Concave/convex -- second derivative | Dec 4, 2015 |

Proving equality of mixed second order partial derivatives | Oct 18, 2015 |

**Physics Forums - The Fusion of Science and Community**