Air is flowing in a wind tunnel at $25^{\circ} \mathrm{C},$ 95 kPa, and 250 m/s. The stagnation pressure at the location of a probe inserted into the flow section is (a) 184 kPa (b) 96 kPa (c) 161 kPa (d) 122 kPa (e) 135 kPa

A plane flies from New York to Chicago (about 700 miles) at a speed of 360 mi/h. The total flying time for the round trip is 3.5 h. Write a rational equation for the sum of the flying times. Find the speed x of the tail wind.

A ball is thrown horizontally at 5 feet per second relative to still air. At the same time a wind blows at 3 feet per second at an angle of $45^{\circ}$ to the ball's path. What is the velocity of the ball relative to the ground? (There are two answers.)

South Wind Vineyards uses 820 acres to plant Chardonnay and Riesling grapes. The vintner knows the profits will be greatest by planting 140 more acres of Chardonnay than Riesling. How many acres of each type of grape should be planted?

Which of the following environments would likely have clasts smaller than sand?

A. a weak current

B. steep slopes

C. dunes formed by wind

D. all of these

Rodrlgo and Juan are constructing a model of the mirror grid In the solar wind concentrator used during the Genesis space mission to collect charged solar particles. They know that a cross section of the mirror grid can be modeled by the equation $y=\frac{x^{2}}{80}$, with dimensions in centimeters.

If the equation of the mirror grid in the Genesis solar wind concentrator is $y-2=\frac{1}{15}(x-3)^{2}$, where is the vertex c the parabola? F (2, 3) G (2, -3) H (-3, 2) J (3, 2)

The English referred to the fierce storm that battered the Spanish Armada in $1588$ as "the Protestant wind."

(a) What does this nickname mean?

(b) What nickname might the Spanish have given to the storm?

Rewrite the following sentence, altering the position of the italicized adjectives. Be sure that the adjectives modify the same noun in your sentence as in the original. Make any necessary changes in wording and punctuation.

The cold, merciless wind chilled us.

A boat on still water generates a wave modelled by f(x)=2 sin x. A gust of wind generates a wave modelled by $g(x)=\frac{1}{2} \sin x$, where $x$ is measured in radians.

What is the maximum height of the combined waves?

To enstare safety, boaters must be aware of wind conditions while they are on the water. $A$ particular anemometer gives a measurement of wind speed

$$\begin{array}{|c|c|} \hline \begin{array}{c} \text { Measured Wind } \\ \text { 5peed }(\mathrm{m} / \mathrm{h}) \end{array} & \begin{array}{c} \text { True Wind Speed } \\ (\mathrm{mi} / \mathrm{h}) \end{array} \\ \hline 20 & 15-25 \\ \hline 22 & 17-27 \\ \hline 24 & 19-29 \\ \hline 26 & 21-31 \\ \hline 28 & 23-33 \\ \hline 30 & 25-35 \\ \hline \end{array}$$

Solve your equation from part a. Check that the solution is correct by comparing it to the values given in the table when the meastared wind speed is $24 \mathrm{mi} / \mathrm{h}$.

Wind chill describes the effect of temperature and wind combining to make it feel colder outside. At 3 p.m. in Minneapolis, Minnesota, the wind chill was $-10^{\circ}$ Fahrenheit. At 11 p.m. the wind chill was $-3^{\circ}$ Fahrenheit. At which time did it feel colder outside, 3 p.m. or 11 p.m.? Explain how you arrived at your answer.

Weather The function $w=-39+\frac{3}{2} t$, where $t$ is the actual air temperature, gives the approximate wind chill temperature $w$ when the wind speed is 20 $\mathrm{mi} / \mathrm{h}$. Find the approximate wind chill temperature for the given air temperatures with a $20 \mathrm{mi} / \mathrm{h}$ wind. c. $-8^{\circ} \mathrm{F}$

Weather The function $w=-39+\frac{3}{2} t$, where $t$ is the actual air temperature, gives the approximate wind chill temperature $w$ when the wind speed is 20 $\mathrm{mi} / \mathrm{h}$. Find the approximate wind chill temperature for the given air temperatures with a $20 \mathrm{mi} / \mathrm{h}$ wind. d. $5^{\circ} \mathrm{F}$

The wind chill temperature in degrees is a function of the air temperature T (in degrees Fahrenheit) and the wind speed v (in mi/h). If we hold T constant and consider the wind chill as a function of v, we have

$$w(v)=\left\{\begin{array}{ll}{T} & {\text { if } 0 \leq v \leq 4} \\ {91.4+(91.4-T)\\(0.0203 v- \\0.304 \sqrt{v} \cdot 0.474)} & {\text { if } 4<v<45} \\ {1.6 T-55} & {\text { if } v \geq 45}\end{array}\right.$$

(a.) If T = 30, what is the wind chill for v = 20? What is it for v = 50? (b.) For T = 30, what wind speed corresponds to a wind chill temperature of $0^{\circ}$? (c.) For what value of T is the wind chill function continuous at v = 4$ At v = 45?