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?

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 $24 \mathrm{mi} / \mathrm{h}$.

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. $5^{\circ} \mathrm{F}$

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.

With a tail wind, a small Piper aircraft can fly 600 miles in 3 hours. Against this same wind, the Piper can fly the same distance in 4 hours. Find the average wind speed and the average airspeed of the Piper.

The available power from a wind turbine is calculated to be $100 \mathrm{~kW}$ when the wind speed is $5 \mathrm{~m} / \mathrm{s}$. If the wind velocity is doubled, the available wind power becomes (a) $100 \mathrm{~kW}$ (b) $200 \mathrm{~kW}$ $(c)$ $400 \mathrm{~kW}$ (d) $800 \mathrm{~kW}$ (e) $1600 \mathrm{~kW}$

A plane flew $1750 \mathrm{~km}$ in $6 \mathrm{~h}$ with a tail wind of constant velocity. It then flew back $540 \mathrm{~km}$ in $3 \mathrm{~h}$ with a head wind of the same velocity. Find the speed of the plane and the speed of the wind.

A woman on a bike traveling east at 8 mi/h finds that the wind appears to be coming from the north. Upon doubling her speed, she finds that the wind appears to be coming from the northeast. Find the velocity of the wind.

Flying with the wind, a plane flew 1000 miles in 5 hours. Flying against the wind, the plane could fly only 500 miles in the same amount of time. Find the speed of the plane in calm air and the speed of the wind.

Wind-powered energy The cubic polynomial function provides the power $P$, in watts, produced by a specific wind turbine with winds blowing at $v$ meters per second.

$$P(v)=4.95 v^3$$

What happens to the power produced by the turbine if the wind speed is tripled?