Concept explainers
Torricelli's Law Water in a tank will flow out of a small hole in the bottom faster when the tank is nearly full than when it is nearly empty. According to Torricelli’s Law, the height h(t) of water remaining at time t is a quadratic function of t.
A certain tank is filled with water and allowed to drain. The height of the water is measured at different times as shown in the table.
(a) Find the quadratic polynomial that best fits the data.
(b) Draw a graph of the polynomial from part (a) together with a
(c) Use your graph from part (b) to estimate how long it takes for the tank to drain completely.
Time (min) | Height (ft) |
0 | 5.0 |
4 | 3.1 |
8 | 1.9 |
12 | 0.8 |
16 | 0.2 |
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Chapter 3 Solutions
Student Solutions Manual for Stewart/Redlin/Watson's Precalculus: Mathematics for Calculus, 7th
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage