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You are taking flying lessons from an experienced pilot. You and the pilot are up in the plane, with you in the pilot seat. The control tower radios the plane, saying that, while you have been airborne, a 25-mi/h crosswind has arisen, with the direction of the wind perpendicular to the runway on which you plan to land. The pilot tells you that your normal airspeed as you land will be 80 mi/h relative to the ground. This speed is relative to the air, in the direction in which the nose of the airplane points. He asks you to determine the angle at which the aircraft must be “crabbed.” that is, the angle between the centerline of the aircraft and the centerline of the runway that will allow the airplane’s velocity relative to the ground to be parallel to the runway.
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Physics for Scientists and Engineers
- Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what Initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7m/s2 .arrow_forwardA fireman d = 50.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of i = 30.0 above the horizontal as shown in Figure P3.18. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building? Figure P3.18arrow_forwardAn airplane is flying at a steady 270 km/s in a level path at a height of 700m above the fround when it drops a package. Ignoring air resistance, how far has the package moved horizontally by the time it reaches the ground? A) 701.5 m B) 665.7 c) 209.8m d)806.1m e) 896.4 marrow_forward
- In an attempt to escape his island, Gilligan builds a raft and sets it to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines:2.50 km 45.0º north of west; then 4.70 km 60.0º south of east; then 1.30 km 25.0º south of west; then 5.10 km straight east; then 1.70 km 5.00º east of north; then 7.20 km 55.0º south of west; and finally 2.80 km 10.0º north of east. What is his final position relative to the island? Be sure to include your vector drawing as part of your solution.arrow_forwardA fireman, 50.0 m away from a burning building, directs a stream of water from a fire hose at an angle of 30.0 ° above the horizontal. If the initial speed of the stream is 40.0 m/s, at what height will the stream of water strike the building? a.9.60 m b.18.7 m c.13.4 m d.22.4 marrow_forwardAt what altitude must a military plane flying horizontally at 175 m/s be in order to deliver relief goods to evacuees? The evacuees are in an evacuation centre 1750m away from where the plane is.arrow_forward
- As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 60.0° north of west with a speed of 41.0 km/h. (a) What is theunit-vector expression for the velocity of the hurricane? It maintains this velocity for 3.00 h, at which time the course of the hurricane suddenly shifts due north, and its speed slows to a constant 25.0 km/h. This new velocityis maintained for 1.50 h. (b) What is the unit-vector expression for the new velocity of the hurricane? (c) What is the unit-vector expression for the displacement of the hurricane during the first 3.00 h? (d) What is the unit-vector expression for the displacement of the hurricane during the latter 1.50 h? (e) How far from Grand Bahama is the eye 4.50 h after it passes over the island?arrow_forwardA jet airliner moving initially at 2.60 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 25.0° north of east. (Let the x-direction be eastward and the y-direction be northward.) (a) Find the components of the velocity of the jet airliner relative to the air, vJA. vJA,x = ? mi/h vJA,y = ? mi/h (b) Find the components of the velocity of the air relative to Earth, vAE. vAE,x = ?mi/h vAE,y = ?mi/h (c) What are the speed and direction of the aircraft relative to the ground? magnitude mi/h direction ° north of eastarrow_forwardIf a spaceship traveling through deep space with the velocity vector as a function of time: v = (2t i +4t j+ 6t k) m/s. (time is in seconds). Given the initial position of the spaceship is r0= (20 i− 50 j − 100 k ) m. At what time would the spaceship be the closest to the origin? and What would the acceleration of the spaceship be at this instant? If you can express the acceleration in Cartesian vector form. Also ? is the unit vector in the z-direction.arrow_forward
- A rescue plane flying horizontally at 72.6 m/s spots a survivor in the ocean 182 m directly below and releases an emergency kit with a parachute. Because of the shape of the parachute, it experiences insignificant horizontal air resistance. If the kit descends with a constant vertical acceleration of 5.82 m/s^2, how far away from the survivor will it hit the waves?arrow_forwardCan someone please explain to me and show me how to find the horizontal velocity? I am starting to become very discouraged and give up. I have been working on it for hours and I cannot figure it out for the life of me. Any help is truly appreciated!! Please help me, I am desperate! Speed 1: 0.81 s Speed 2: 0.86 s Speed 3: 0.89 s Avg Speed: 0.85 s Range 1: 0.2413 m Range 2: 0.254 m Range 3: 0.2159 m Average Range: 0.2370 m What is the horizontal velocity in m/s? I need help with this example so that I can attempt to do the rest! Thank you!arrow_forwardA plane wishes to fly to an airport located 540 km [N30°W]. There is a wind blowing at 45 km/h from the west. If the plane wishes to arrive in 1.5 hr, what airspeed and heading must it have? Include a labelled diagram.arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning