Question

In: Physics

An airplane leaves from city A, located in the east 1500 km from city B. The...

An airplane leaves from city A, located in the east 1500 km from city B. The aircraft has a speed of 500km/h to the east and at the same time it blows a wind of 100km/h from the northeast.

a)
In which direction must the course be adjusted so that the direction of the aircraft is due east to the ground?

b)
How long does it take to get to city B?

c)
Answear question a and b again, but this time the wind comes from northwest.

Solutions

Expert Solution

In order to move towards the East, we have to change the direction with some angle. Let's say Theta.

Now, if the plane has to move along East, the components of velocity perpendicular to it should vanish. So, this theta must be between East and North-East.


Related Solutions

Housing Prices and Land Prices A household located x = 10 km from the city center...
Housing Prices and Land Prices A household located x = 10 km from the city center occupies a pays an annual rent of $9,000 for a standard dwelling. The annual non-land cost per dwelling is $5,000, and there are 8 dwellings per hectare. The annual interest rate is 5 percent. At x = 10, the willingness to pay for land is $[____] per hectare per year and the market value (purchase price) of land is $[____] per hectare. Suppose we...
20 km east plus 10 km northeast
20 km east plus 10 km northeast
At noon, ship A is 130 km west of ship B. Ship A is sailing east...
At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 15 km/h. How fast is the distance between the ships changing at 4:00 PM?
City A is located 40° N, 10° W. City B is located 40° N, 20° E....
City A is located 40° N, 10° W. City B is located 40° N, 20° E. Assume the Earth is a perfect sphere with a radius of 6371km. Calculate the short distance between city A and city B along the 40° N parallel. Calculate the shortest distance (on curved Earth surface) between city A and the equator. π = 3.141
An airplane cruises at 900 km/h relative to the air. It is flying from Denver, Colorado,...
An airplane cruises at 900 km/h relative to the air. It is flying from Denver, Colorado, due west to Reno, Nevada, a distance of 1200 km, and will then return. There is a steady 80 km/h wind blowing to the east. What is the difference in flight time between the two legs of the trip?
Montréal is 510 km from Toronto, 12 degrees north of east. At an altitude of 9,000...
Montréal is 510 km from Toronto, 12 degrees north of east. At an altitude of 9,000 meters, the windspeed is 80 km/h out of the north. For the entire 510 km, the aircraft flies at 9,000 meters at an airspeed of 300 knots. Draw a triangle whose sides represent the velocity vectors that correspond to the groundspeed, airspeed, and windspeed. Determine: (a) the aircraft heading (direction in which the nose of the aircraft points), in degrees from north. (b) the...
A man walks 1.55 km south and then 2.25 km east, all in 2.80 hours. (a)...
A man walks 1.55 km south and then 2.25 km east, all in 2.80 hours. (a) What is the magnitude (in km) and direction (in degrees south of east) of his displacement during the given time? magnitude km direction ° south of east (b) What is the magnitude (in km/h) and direction (in degrees south of east) of his average velocity during the given time? magnitude km/h direction ° south of east (c) What was his average speed (in km/h)...
The 1500-kg truck reaches a speed of 50 km/h from rest in a distance of 60...
The 1500-kg truck reaches a speed of 50 km/h from rest in a distance of 60 m up the 10% incline with constant acceleration. Calculate the normal force under each pair of wheels and the effective coefficient of friction between the tires and the road during this motion.
An airplane is heading due south at a speed of 680 km/h . A. If a...
An airplane is heading due south at a speed of 680 km/h . A. If a wind begins blowing from the southwest at a speed of 90 km/h (average), calculate the velocity (magnitude) of the plane relative to the ground. B. Calculate the velocity (direction) of the plane relative to the ground. C. Calculate how far from its intended position will it be after 18 min if the pilot takes no corrective action.
You are located downwind from two oil-burning power plants. One is located 0.3 km NE of...
You are located downwind from two oil-burning power plants. One is located 0.3 km NE of your location and burns 1400 kg of 0.5% sulfur oil per hour. Its effective height is 60 m. The second plant is located 0.5 km NNW of you and burns 1600 kg/hr of fuel oil containing 0.75% sulfur. The effective height is 40 m. The wind is blowing from NNE at 3.3 m/s (measured at the standard height of 10 m). For a class...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT