# airplane

1. ### Pilot and wind velocity vector help

A pilot needs to fly 35 degrees east of north. He's flying at a speed of 105 miles per hour at fixed altitude with no wind. When he reaches a point, he encounters wind with a velocity of 15 miles per hour in the direction 10 degrees east of north. Express the velocity of the wind W as a vector...
2. ### Trigonometric bearing airplane problem

A plane's air speed is 520 mi/hr. Find the bearing (theta) the plane should fly to get to Seattle and the new speed (r) when the wind is blowing from a bearing of 120degrees with a speed of 120 mi/hr. The bearing from Hawaii to Seattle is 50 degrees and the distance is 2677 mi. Find the time it...
3. ### Finding a missing airplane (Conditional probability? Confusing wording.)

Conditional probability question (with confusing wording) LaTeX is giving me some serious parsing issues today, so I'll try to use it sparsely. --- Problem statement: An airplane is reported as missing. Investigators assume that the airplane has disappeared in one of three given zones...
4. ### Airplane vectors

12. A pilot wishes to fly from Toronto to Montreal, a distance of 508 km on a bearing of 075^o. The cruising speed of the plane is 550 km/h. An 80 km/h wind is blowing on a bearing of 125^o a) What heading should the pilot take to reach his destination? b) What will be the speed of the plane...
5. ### DVT word problem help needed

A airplane that travels from one city to another city against the wind takes it 4 hours to get there, the voyage back only takes it 2 hours. If the distance between both city's is 600km, what is the speed of the plane? So far I have: D = V x T Go...
6. ### airplane

HELLO EVERY ONE An airplane moves on the runway of the airport at aconstant acceleration, then it takes off after it travels 1.5 km on the runway at avelocity of 210 km/h . what is the acceleration of the airplane ? (please by integral)
7. ### Airplane departures and arrival stats

Given that a flight departs (on-time) = P(d)=.83, and arrives (on-time) = P(a)=.82...and prob that it departs & arrives on time is .78: 1. what is the prob. that an aircraft will arrive on time or depart on time? - ??? 2. Are these events (a,d) independent? - I said they are dependent upon...
8. ### Airplane Problem

I'm looking for help on a logarithm graphing problem. When I graph the problem on my calculator, I get a nonsensical answer....the resulting graph looks like a tangent. Here's the problem statement: "Climb Rate. The time t (in minutes) for a small plane to climb to an altitude of h feet...
9. ### Urgent! Airplane problem!

An airplane of mass 8000 kg has a wing area of 400 m2. The speed of air ow is 100 m/s over the top of the wing and 70 m/s below the bottom of the wing. Assume the density of air varies with height as Rho =Rho0*exp(-z/8000m) with Rho0 = 1.3 kg/m^3. (a) What is the lift force on the airplane at...
10. ### Airplane Engines

"An airplane needs at least half of its engines working to stay airborne. If an engine independently functions with probability p, for what values of p is an airplane with three engines safer than one with five engines?" Ok, so I'm going to try to work through this. I'm pretty much thinking...
11. ### North, East, South, West airplane thingy

Hi, thank you (again?) for taking the time to look at my problem. A helicopter makes a forced landing at sea. The last radio signal received at station C gives the bearing of the helicopter from C as N 57.1degrees E at an altitude of 423 feet. An observer at C sights the helicopter and gives...
12. ### Application - Airplane and Wind

the course and ground speed of a plare are 70 degree and 400 miles per hour respectively. There is a 60 mph wind blowing from the south. find the approximate direction and air speed of the plane. This is how I learned how to solve it with vectors: v_1 = 400 \langle \cos {70}, \sin {70} \rangle...
13. ### vectors Airplane question

Could someone help me I no math genius but this question is driving me crazy(Angry). any help is appericated(Bow) Questions attached
14. ### Airplane Engine - Probability Question!

If someone could check my answer that would be AWESOME Q. Assume that airplane engines operate independently of each other and that at least half of the engines on a plane must operate for the plane to continue flying. A particular airplane engine fails with a probability of 1/7. Which is...
15. ### Vector airplane question

An airplane is flying at 500km/hr in a wind blowing 60 km/hr toward the SE. In what direction should the plane head to end up going due east? What is the plane's speed relative to the ground? I assume that the plane is heading due east to start and the wind would add to the i component of...
16. ### AIRPLANE Problem

Two airplanes (at the same height) are flying away from an airport at a right angle to each other. The distance between them is 470 miles. Plane X is 270 miles from the airport. Plane Y is traveling at a speed of 520 mi/hr. The distance between them is increasing by 660 mi/hr. How fast is plane...
17. ### Airplane and radar station functions

An airplane is flying at a speed of 200 mi/h at an altitude of one mile and passes directly over a radar station at time t = 0. (a) Express the horizontal distance d (in miles) that the plane has flown as a function of t. d = 200t ok, well that was easy (b) Express the distance s between the...
18. ### Airplane Application

A plane crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) for each passenger is given by the following function: C(x) = 100 + (x/10) + (36,000/x), where x is the ground speed (airspeed, plus, minus wind). (a) What is the cost per...
19. ### Airplane and Wind speed problem

An airplane averaged 160 miles per hour with the wind and 112 miles per hour against the wind. Determine the speed of the plane and the speed of the wind. Is this possible to calculate with the info presented?
20. ### Crazy Guy On The Airplane

Problem :- A line of 100 airline passengers is waiting to board a plane. They each hold a ticket to one of the 100 seats on that flight. (For convenience, let's say that the nth passenger in line has a ticket for the seat number n.) Unfortunately, the first person in line is crazy, and will...