Plane flying height in km At what angle from the vertical should the gun be fired for the shell with muzzle speed $600ms^{-1}$ to hit the pla Consider an airplane flying with a velocity of 60 m/s at a standard altitude of 3km. 5 km = 1500 m is given as u = 720 km/h = `720 * 5/18` = 200 m/s. The height at which the airplane is flying (in km) is: Q. If the airplane is flying at a constant height of 3000√3 m, find the speed of the airplane. (AGL) = Altitude above sea level (MSL) - Average elevation of the terrain. An aircraft is flying at a height of 3400 m above the ground. Air density decreases to about 1/2 with each added 5 km of altitude, so at 10 km, d is about 1/4 its sea-level value and an airplane can double its speed to generate the same lift, with the same drag D (which, as shown, also grows like dv 2 The height of the plane remains constantly as `3000sqrt(3)` m. An army man with an anti-aircraft gun on the An aero plane is flying in horizontal direction with velocity 60 km/hr at a height of 1960 m. Factors like temperature, weight, and the In conclusion, planes can fly at varying altitudes depending on the aircraft type, weather conditions, and flight purpose. 5: 1,150 mph (1,852 km/h) Supersonic: Mach 2: 1,534 mph (2,470 km/h) the boundaries of what was once considered impossible. 146. 732A. From a point on the ground, the angle of elevation of the aircraft at an instant was observed to be $$45^{o}$$. X-15: Joseph Albert Walker: 353,200 feet (107,700 meters) 3. r. t horizontal) when the target is seen, should the pilot drop the bomb in order to attack the target? The KM was an experimental aircraft developed from 1964 to 1966, during a time when the Soviet Union saw interest in ground effect vehicles—airplane-like vehicles that use ground effect to fly several meters above surfaces, primarily The altitude at which an aircraft can fly is also dictated by its design. At what Mach number is the The height of a flying airplane is measured using an altimeter, which calculates the aircraft’s altitude above mean sea level. 260. A short time later, the radar equipment reveals that the distance between the plane and the station is 5 km and that the distance between the plane and the station is increasing at a rate of 300 km per hour. A typical airplane cruises at an altitude of 35,000 or 36,000 feet. Here’s a quick look at some common aircraft and their cruising The EAA shares that the definition of service ceiling is the height above sea level at which an aircraft with a normal-rated load "is unable to climb faster than 100 feet per minute under standard air conditions. The angle of elevation of an aeroplane from point A on the ground is 60 o. The body strikes the ground at point B. 0 s apart is 30°, what is How high do commercial planes fly? Learn more today from our aviation experts at California Aeronautical University. 44 HINT Problems for practice 1. 025 rad/s. class-11; kinematics; Share It On A fighter jet plane flying horizontally at an altitude of 2 km at a speed of 200 m/s passes directly above on anti-aircraft gun. 1 answer. [ g = 10 m / s 2] An aeroplane moving horizontally with a speed of 180km\/h drops a food packet while flying at a height of 490m. 9k points) motion in a plane Calculating Heights and Distances. 5 km with speed of 720 km/h. A fighter plane flying horizontally at an altitude of 1. When it is observed from a point on the ground, the angle of elevation changes from 60° to 30° in 12 seconds. At what angle from the horizontal should the gun be fired for the shell muzzle speed 600 m/s to hit the plane? At what minimum altitude should the pilot fly the plane to avoid being hit. From an airplane vertically above a straight horizontal road, the angles of depression of two consecutive kilometers stones on opposite sides of the airplane are observed to be 60 o and 30 o. For example, in 1963, the experimental North American X-15 reached an altitude of 107,700m. , when θ = 60° the velocity of the plane is :a)1440 km/hb)960 km/hc)1920 km/hd)480 km/hCorrect answer is option 'B'. Many air travelers wonder, “How high do airplanes go?” Whether you’re a frequent flyer or just curious about the science behind aviation, understanding altitude levels can help Atmospheric Pressure: As altitude increases, air pressure decreases, which can affect engine performance and lift. At this instant, an atomic bomb i. After 12 seconds, the angle of elevation changes to 30 ∘. Fuel efficiency is the primary driver behind flying at greater altitudes. 150 m / s An airplane moving horizontally with a speed of 180 k m h An aeroplane moving horizontally with a speed of 720 km/h drops a food packet, while flying at a height of 396. what would be angular velocity of plane when it is observed by person standing on earth 4 (a)i rad/se Aplane is flying at height 10 km with speed of 1000 km/hr. Similar questions. The National Aeronautics and Space The pilot of an aircraft flying horizontally at a speed $1200\,km\,{h^{ - 1}}$ . The time taken by a food packet to reach the ground and its horizontal range is (T a k e g = 9. Courses for Kids. Q. 8 m / s 2) An aircraft is flying at a constant height with a speed of $$360\ km/h$$. ADMISSIONS: 661-615-5915 | MAIN LINE: 661-615-5915 CAU San Diego Open House | February 22, 2025. Sum. The velocity of the fighter plane at a height h = 1. At what angle from the vertical should the gun be fired for the shell with a muzzle velocity of 600 m/s to hit the plane? At what minimum altitude should the pilot fly to avoid being hit? [Take g = 10 m /s 2] This aeroplane’s flying height translates to around 10-13 km. 60∘D. 15 km with speed 720 km/h passes directly overhead an anti-aircraft gun. 8 km above the ground. At a point on the wing, the airflow velocity is 70 m/s. After flight of 15 seconds, the angle of elevation changes to 30 o. An armyman with an anti aircraft gun on the ground sights the enemy plane when it is directly overhead and fires a shell with a muzzle speed of 600 ms 1. 1000 m The correct answer is Given that the pilot of an aircraft flying horizontally at a speed of 1200km/hr. 50 √5 mC. What is the typical height of a commercial airplane when flying? The typical cruising altitude for a commercial airplane is around 35,000 feet or 10,600 meters. 15 marks) A plane flying parallel to the ground at a height of 4 km passes over a radar station R. asked Oct 1, 2023 in Science by Moses Chai (20 An aero plane is flying in horizontal direction with velocity 60 km/hr at a height of 1960 m. 9 and 7. 6 s before it hit the ground, it Find the speed and the altitude of the aircraft. 45∘ An aero plane is flying 1 km above the ground making an angle of elevation of aero plane 60°. The horizontal range of the food packet is g = 9. Let the point on ground be A Since airplane is flying at height of 3000√3 m CD = BE = 3000√𝟑 m. After 10 seconds, its elevation is observed to be 30° English. "Generally speaking, aircraft flying south, southwest, west, and northwest must be at an even altitude, like 36,000 feet. See answers Advertisement Advertisement qwcricket10 qwcricket10 Given that, From the ground level, an airplane is at a height of A fighter plane flying horizontally at an attitude of 1. Question: 2. 100/√3 m / sB. Commercial aircraft today cruise at high altitudes that reach some 30,000 feet (9,144 meters) above mean sea level, and even beyond. Q5. [ U s e √ 3 = 1. Let the point on ground be A Since airplane is flying The angle of elevation of an airplane from a point A on the ground is 60° after a flight of 30 seconds, the angle of elevation changes to 30°. 200/√3 m / sC. An airplane when flying at a height of 5000 m from the ground passes vertically above another airplane at an instant, . The shortest commercial jet Question From - NCERT Physics Class 11 Chapter 04 Question – 040 MOTION IN A PLANE CBSE, RBSE, UP, MP, BIHAR BOARDQUESTION TEXT:-A fighter plane flying hor If the jet plane is flying at a constant height of 1500 3 m, find the speed of the jet plane. 5 km with a speed of 720 km/h passes directly overhead of an antiaircraft gun. After a flight of 15 second, the angle of elevation changes to 30 ∘. i. 5 km with a speed of 720 km/h passes directly overhead an anti-aircraft gun. To make things easier to imagine, the elevation of Mount Everest’s summit is 29,029 feet. Calculate distance AB. Show More An aeroplane flying horizontally at an altitude of 490 m with a speed of 180 k m p h drops a bomb. That area of the sky is called the lower stratosphere and provides many benefits for an airplane flight. 5 km = 3500 m above mean sea level. Find the speed of the aircraft. Find the height at which the aircraft is flying. Assume 12. The altitude at which planes fly depends on various factors, including aircraft type, mission, and atmospheric conditions. When it is vertically above the point A on the ground, a body is dropped from it. Menu. 200 √3 m / s A plane is flying horizontally at a height of 1 km from ground. 5km\\] with speed $720km\/h$ passes directly overhead an anti-aircraft gun. asked May 29, 2019 in A plane is flying horizontal at a height of 1000m with a velocity of `100 ms^(-1)` when a bomb is released from it. The angle of elevation of a plane from point X is 60° and after 20 seconds, its angle of elevation from X becomes 30°. A jet plane flying at a constant velocity v at a height = 8 km is tracked by a radar R located at O directly below the line of flight. Flight Levels for Aircraft. 00 An aeroplane is flying in a horizontal direction with a velocity 600 km/h at height of 1960 m. [ g = 10 m / s 2] Rank + Aircraft Pilot Altitude; 1. Find (i) the time taken by it to reach th A fighter plane flying horizontally at a altitude of 1. So we use trigonometric ratios Feb 22,2025 - A jet plane flying at a constant velocity V at a height h = 8 km is being tracked by a radar R located at O directly below the line of flight. The speed of the plane is corresponding to M = 2. Temperature: Colder temperatures at higher altitudes can impact the efficiency of engines and the comfort of passengers. The speed of plane isA. How far the aeroplane must be from the enemy post at time of dropping the bomb, so that it may directly hit the target. Observes that the angle of depression of a point on the ground c hanges from 30 ∘ to 45 ∘ in 15 sec. If the angle θ is decreasing at the rate of 0. 28 km` `780=u sin theta xx6+1/2xxgxx36` `780-180=u sin theta xx6` An enemy plane is flying horizontally at an altitude of `2km` with a speed of `300 ms^(-1)`. `360 km//hr, 1. Flying at that height gives optimum air pressure and ambience—and most importantly, a safety cushion for pilots in case something goes wrong! References (click to expand) (22d) Airplane Flight -- How High? How Fast? - Phy6. 100 √3 m / sD. MENU MENU. After 20 sec The angle of elevation of an aircraft from a point A on the ground is 60°. Free study material Velocity of plane= initial velocity of parcel= 180 km/h= \[180\times The scale of a photo is equal to the ratio between the camera's focal length and the plane's altitude above the ground level (AGL) being photographed. At what angle with the vertical should the gun be fired so as to hit the plane?A. Suggest Corrections. A fighter plane flying horizontally at an altitude of \\[1. 2 miles in the air. In this Height of the fighter plane = 1. How would you solve this problem is the speed were 1050 km/hr? An aeroplane is flying horizontally at an altitude of 1500 m above the ground. After $$20$$ seconds, the angle of elevation was observed to be $$30^{o}$$. CISCE (English Medium) ICSE Class 10 . Calculate the distance AB. Find the speed of the plane . asked In general, commercial aircraft fly at an altitude of 31,000 to 38,000 feet, which equates to somewhere between 5. Then the height of the aeroplane[in km] is. 75∘C. An airplane moving horizontally with a speed of 180 k m h − 1 drops a food packet while flying at a height of 490 m. What angle of sight (w. RSVP. Similar Questions. Muzzle velocity of the gun, u = 600 m/s Time taken by the shell to hit the plane = t Horizontal distance travelled by the shell = u x t. The height at which the airplane is flying (in km) is: View Solution. If the plane is flying Click here 👆 to get an answer to your question ️ A bomber aircraft is flying horizontally 350 Km/hr at an altitude of 420m. If release a bob when ` 500 m` away from the enemy post, Will the bomb hit post ? Take g=10 ms^(-2)`. 5 km and 11. 500 √5 mD. A plane is flying horizontally at a height of 1 km from ground. A fighter plane flying horizontally at an attitude of 1. Therefore, speed of the aircraft is 840 km/hr. " Overall, the A bomb is dropped on an enemy post by an aeroplane flying with a horizontal velocity of 60 km/hr and at a height of 490 m. A fighter plane, flying horizontally with a speed of 360 km / h at an altitude of 500 m drops a bomb for a target straight ahead of it on the ground. A high-speed subsonic Boeing 707 airliner is flying at a pressure altitude of 12 km. P and Q are the two positions of the plane flying at a height of `3000sqrt(3)` m. If the plane is flying at a constant height of 3600 √3 m, find the speed, in km/hour, of the plane. Let the plane drops the bomb t seconds before the target is exactly below the plane. At what angle from the horizontal should the gun be fired for the shell muzzle speed 600 m/s to hit the plane? At A fighter plane flying horizontally at a altitude of 1. The corresponding figure is as follows. Ans: = 840 km/hr. Because the The pilot of an aircraft flying horizontally at a speed 1200km/hr. The aircraft is flying at a constant height of 3500√3 m at a uniform speed. Distance travelled by the plane = vt The shell An aeroplane is flying horizontally at a height of 1. From an aeroplane vertically above a straight line in a horizontal plane, the angles of depression of two consecutive kilometre stones on the opposite sides of the aeroplane are found to be alpha and beta. The horizontal range of the packet is:(A) 180 m(B) 980 m(C) 500 m(D) 670 m. org. 732 ] Commercial planes will typically fly at an altitude between 30,000 and 41,000 feet (9 and 12 km). 32. At what approximate distance, the bomb should be dropped ahead of the target, so that it hits the target ? Assume that acceleration due to gravity, g is 10 ms 2. At what angle from the vertical should the gun be fired for the shell with muzzle speed 600 m s 1 to hit the plane ? At what minimum altitude should the pilot fly the plane to avoid being hit ? Take g=10 m s z . 6 km) above the ground. The horizontal distance at which it hits the ground is. 1: 843 mph (1,355 km/h) Supersonic: Mach 1. A fighter plane, flying horizontally with a speed of 360 k m / h at an altitude of 500 m drops a bomb for a target straight ahead of it on the ground. 5 km with speed 720 km / h passes directly overhead an anti aircraft gun. In most countries around the world, when at high altitude, the aircraft’s height is reported as a ‘Flight Level’ in feet. An aeroplane flying horizontally at a height of 980 m with velocity 100 m / s drops We would like to show you a description here but the site won’t allow us. Why Planes Fly At Their Cruising Altitude Fuel Economy. Use the above information to answer the questions that follow-Draw a neat labelled figure to show the above situation diagrammatically. 5 km with speed 720 km/h passes directly overhead an anti-aircraft gun. An aeroplane flying horizontally 1 km above the ground and going away from the observer is observed at an elevation of 60 ∘. After a flight of 30 seconds, the angle of elevation changes to 30 ∘. For example, a commercial airliner like a Boeing 737 is designed for cruising altitudes around 35,000 feet, while a business jet like a Gulfstream can reach up to 45,000 feet. A. 6 miles. प्रश्न – Airplane Speed Km/h In India? प्रश्न – Plane Flying Height In Km? Hence, the pilot should fly the plane at a minimum height of 16 km to avoid being hit. 0 s apart is 30 o, what is the speed of the aircraft ? View Solution. 96x104 N/m2. Short flights on regional aircraft will not go as high because there is not enough time to climb up. Distance travelled by the plane = vt The shell An aeroplane flying horizontally 1 km above the ground and going away from the observer is observed at an elevation of 60°. Aircraft flying north, northeast, east, and southeast must fly at an odd Speed is the main reason why airliners fly at an altitude above 30,000 feet or close to 10 kilometers. SpaceShipOne: Brian Binnie: 367,490 feet (112,010 meters) 2. An enemy plane is flying horizontally at an altitude of 2 km with a speed of 300 ms 1. From a point on the ground, the angle of elevation of the aircraft at an instant was observed to be 45°. After a flight of 30 seconds, the angle of elevation changes to 30°. Let CE = x, BC = y, ∠ A E B = 30, ∠ D E C = 60, A B = 1 k m a n d C D = 1 k m Here we have to find speed of aero plane. The angle of elevation of an aeroplane from a point P on the ground is 60 ∘. i Determine the angle 0, if the magnitude of the displacement from the point of release of the bomb to the target is 3. A short time later, the radar equipment determines that the distance between the plane and the station is 5 km and that the distance between the plane and the station is increasing at a rate of 300 km/h. Determine the height at which the aircraft flying. Determine the gage pressure at the stagnation point on the nose of the plane if the speed of the plane is 200 km/hr. How high do planes fly in KM? Jul 17, 2024; Engine Power: It is attributed to the capability of advanced jet engines that make it easier for aircraft to gain altitude while in flight as well as to gain altitude to higher levels without requiring additional power. (g = 9. Q2. The engines used in widebody aircraft require a lot of power to make the plane reach its optimal height above the The Embraer E195 and Boeing 737 can climb to 12 km altitude, the Airbus A220 and A320 can fly half a kilometer higher, while the 747 and A380 has the service ceiling of 13 km. The value for the trigonometric identities can be evaluated by using the right-angled triangle the value for tanθ can be expressed as tanθ= opposite adjacent Since the speed of an aircraft is 1200 km/hr and, after 15 sec, the The height of the plane remains constantly as 3000√3m. 8 m s − 2 . Angle of elevation of the plane at a certain instant is 60°. Find (i) the time taken by it to reach the ground (ii) the velocity with which the bomb hits Hence, the speed of the jet plane is 864 km/hr. 4. 9k points) motion in a plane An airplane is flying at an altitude of 12,000 m. focal length of camera = 152 mm. Best answer. Take √3=1. Short flights on regional aircraft will not go as high because The average altitude for commercial passenger jets typically ranges from 30,000 to 42,000 feet, equivalent to 5. Angle of elevation of the plane at a certain instant is 60 ° . asked Jan 3, 2022 in Physics by JiyaMehra ( 36. Solution Show Solution. (use $$\sqrt{3}=1. 025 rad/s velocity of plane when θ = 60 ∘ is This is the height of the plane. What is the speed of the plane in km/hr. 866 mB. 6k points) motion in a plane; class-11; 0 votes. Angle of elevation of the plane at a certain instant is 60∘. Calculation: Flying height = 3. If the jet plane is flying at a constant height of 1500 √ 2 m. A is the point of This is between 5 to 7 miles up in the sky or 8 to 11 kilometres (8,000 to 11,000 meters). Find the height at which the aircraft is flying. Learn about factors affecting flight height and how it impacts travel. The aircraft is flying at a constant height of 3500`sqrt3` m at a uniform speed. At what approximate distance, the bomb should be dropped ahead of the target, so Well, now you know why commercial planes fly at an altitude of around 6. If the jet is flying at a speed of 720 km/hour, find the constant height at which the jet is flying. After 20 seconds angle of elevation is found 30∘. 4 m / sD. After 10 seconds, its elevation is boserved to be 30 ∘; find the uniform speed of the aeroplane in km per hour. 9 to 7. 5 k m with speed 720 k m / h passes directly overhead an anti-aircraft gun. 8 m / s e c 2) View Solution. Find the speed of the jet plane. 732$$) A fighter jet plane is flying at a height of ` 500 m` with a velocity ` 450 km h^(-1)` . heights and distances; class-10; Share It On Facebook Twitter Email. After a flight of 15 seconds, the angle of elevation changes to 30∘. 3. Different aircraft have different capabilities. After 20 seconds angle of elevation is found 30 ° . After 20 seconds, the angle of elevation was observed to be 30°. 2 miles (9. 4 km / hC. At what angle from the vertical should the gun be fired for the shell with muzzle speed 600 m s Height of the fighter plane = 1. View Solution An aircraft is flying at a height of 3400 m above the ground. Find the speed of the plane in km/h. asked Feb 26, 2022 in General by Niralisolanki (115k points) power-engineering; air-and-gas-compressors; 0 votes. After a flight of 30 seconds, the angle of elevation becomes 30°. Average ground elevation = 460 mm above An aeroplane is flying in a horizontal direction with a velocity 600 km/h at height of 1960 m. If point X is on the ground, then what is the speed (in km/hr) of the aeroplane? A food package was dropped from an aircraft flying horizontally. Flight Regulations: Air traffic control and aviation regulations often impose altitude restrictions for safety and operational 4. A fighter plane flying horizontally at a altitude of 1. For commercial airlines, the average cruising altitude is around Only aircraft with rocket engines, or so-called rocket planes, can fly higher than military aircraft. Why do airplanes fly at high altitudes? A fighter plane flying horizontally at an attitude of 1. Calculating Heights and Distances. The angle of elevation of a jet plane from a point A on the ground is 60 ∘. Use the above information to answer the questions that follow- Question 38 (i) Draw a neat labelled figure to show the above situation diagrammatically. Commercial airplanes typically cruise between 30,000 and 42,000 feet, taking advantage of Discover the typical cruising altitude of commercial airplanes in kilometers. What is the height of the lower plane from the ground ? View Solution. answered Apr 17, 2023 by MonaliAgarwal (17. asked Jan 5, 2020 in Physics by Sakil01 (48. Calculate the pressure at this point. And other commercial jets do not stand out from Aplane is flying at height 10 km with speed of 1000 km/hr. If the aeroplane is flying at a constant height of 1500 √ 3 m, find the speed of the plane in km/hr. The situation is shown in the given figure. We have to find the height at which the aircraft is flying. If angle θ is decreasing at rate of 0. An airplane is flying at an height of 14 km where temperature is -45°C. The stratosphere sits above the troposphere, and it's the troposphere where most weather events We would like to show you a description here but the site won’t allow us. A Pitot tube on the vertical tail measures a pressure of 2. As an aviation student, you will learn a lot about the significant role that altitude plays in flying an UPSEE 2016: A plane is flying horizontally at a height of 1 Km from ground. Aircraft cruise at this high altitude due to enhanced fuel efficiency when compared to lower levels. 1k points) selected May 4, 2023 by faiz . Convergent -divergent nozzle. Post navigation. If the Question 39 The angle of elevation of an airplane from point on the ground is 60°. Also neglect air drag. 9 m. If the aeroplane is flying at a height of 3000 m, then find the speed of the plane. If the angle subtended at a ground observation point by the aircraft positions 10. Challenge Your Friends with Exciting Quiz Games – Click to Play Now! 2 Answers +1 vote . A plane is flying horizontally at a height of 1000 m with a velocity of 100 ms-1 when a bomb is released from it. Let BC be The angle of elevation of an aeroplane from a point on the ground is 45∘. Please do press “Heart” button if you liked the solution. Ans: Hint:The plane is moving in the horizontal direction with Courses. When it is vertically above point A on the ground a body is dripped from it. An airplane flying at 3000m above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 600m and 450m respectively. X-15 (1,235 km/h) Speed of Sound: Mach 1. Q1. After 10 seconds angle of elevation is changed to 30°. Observes that the angle of depression of a point on the ground changes from ${30^ \circ }$ to ${45^ \circ }$ in 15 sec. After a flight of 15 seconds, the angle of elevation changes to 30. 30∘B. When flying as a passenger, you may well have heard the flight's cruising altitude being An aircraft is flying at a constant height with a speed of 360 km/h. How to Find an Aircraft’s Altitude? How High Do Planes Fly? Commercial planes will typically fly at an altitude between 30,000 and 41,000 feet (9 and 12 km). 5 km = 1500 m. When the altitude of the aircraft is 2. 150 km / hB. Speed of the fighter plane, v = 720 km/h = 200 m/s Let θ be the angle with the vertical so that the shell hits the plane. Question. PROBLEM 23: A plane flying parallel to the ground at a height of 4 km passes over a radar station R (see figure). Was this answer helpful? 21. 50 km, it releases a bomb, which subsequently hits a target on the ground. A fighter plane is flying horizontally at an altitude of 1. Skip to content. tnkbuap vkzd jgohciz nwtee dwizgtb yhhr magx knnp yirhx buwmj resp ntmfk hfdw zgarlr kgpbj