340
Chapter 3 | Derivatives
389. Find w ′(3). What is the physical meaning of this value? The following questions consider the wind speeds of Hurricane Katrina, which affected New Orleans, Louisiana, in August 2005. The data are displayed in a table. Hours after Midnight, August 26 Wind Speed (mph)
1
45
5
75
11
100
29
115
49
145
58
175
73
155
81
125
85
95
107
35
Table 3.9 Wind Speeds of Hurricane Katrina Source: http://news.nationalgeographic.com/news/2005/ 09/0914_050914_katrina_timeline.html. 390. Using the table, estimate the derivative of the wind speed at hour 39. What is the physical meaning?
391. Estimate the derivative of the wind speed at hour 83. What is the physical meaning?
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