A ship sets sail from Rotterdam, The Netherlands, heading due north at 5.00 m/s relative to the water. The local ocean current is 1.54 m/s in a direction 40° north of east. What is the velocity of the ship relative to the earth? m/s ° N of E
Q: An airplane pilot sets a compass course due west and maintains an airspeed of 220 km>h. After…
A: a) The wind speed can be calculated by taking the vectors for the given entities, The angle of…
Q: An airplane travels east at a rate of 800 km/h for 2 h. Which of the following are vectors? a. The…
A:
Q: A hiker walks 2.00 km north and then 3.00 km east, all in 2.5 hours. calculate the magnitude and…
A: Given data The distance walked by the hiker towards the north, x = 2.00 km Then the hiker walked y =…
Q: (a) Draw the initial and final velocity vectors (b) Find Dv
A: The initial and final velocity vectors as shown the below plot.
Q: A ferryboat is traveling in a direction 42.0 ° north of east with a speed of 6.20 m/s relative to…
A:
Q: A train at a constant 56.0 km/h moves east for 39.0 min, then in a direction 46.0° east of due north…
A: Given:Moving time in east direction = 39 minMoving time in east of due north = 29 minMoving time in…
Q: 60.0° west Vector A in the diagram has components to the west and to the north in this coordinate…
A: The given values are,
Q: A cruise ship is moving through the water with a speed of 4.80 km/hr in a direction 34.0° east of…
A:
Q: In the Mississippi river banks in Louisiana, a tug boat leaves a harbor and sails 5.0 km in the…
A: SolutionGivenboat leaves hastor and sails 5 km at 45°south of eastlater 1 km west
Q: A medic boy in a hospital pushing a stretcher through the hospital corridors and covers two…
A:
Q: A river is flowing due east at 5 mi/h. A man heads his motorboat in the direction N 30° E in the…
A:
Q: Mr. M is flying his private jet at an airspeed of 660km/h with a heading of [W25N]. He encounters a…
A: The given values are, vj=660 km/h W25N=-660sin25°i^+660cos25°j^ km/hva=550 km/h…
Q: An airplane heads due north at 120 m/s through a 30 m/s cross wind blowing from east to west. The…
A: Write the velocity components for the plane. Write the velocity components for the wind.
Q: A plane is capable of flying 905 km/h without wind. It flies with a heading of [N 22.0° W]. A wind…
A:
Q: An airplane was flying in a speed of 120 km/h with the direction of true bearing 155° for 1.4 hours…
A: (a) The total distance of an airplane is, d=∆vt=120 km/h-45 km/h1.4 h=75 km/h1.4 h=105 km
Q: A jet airliner moving initially at 2.95 ✕ 102 mi/h due east enters a region where the wind is…
A: Given information: The initial velocity of the airliner (ua) = 2.95 ×102 mi/hr The velocity of wind…
Q: At the beginning of a 3 hour trip you're traveling due north at 192 km/hour. at the end, you are…
A: It is given that
Q: A river flowing southward has a current of 7 miles per hour. A motorboat in still water maintains a…
A:
Q: A ship sets sail from Rotterdam, The Netherlands, heading due north at 9.00 m/s relative to the…
A: The x and y direction velocities will be vx=1.53cos40=1.172 m/s vy=9+1.53sin40°=9.983 m/s The net…
Q: A sailboat floats in a current that flows due north at 5 m/s. Due to a wind, the boat's actual speed…
A:
Q: A train at a constant 71.0 km/h moves east for 47.0 min, then in a direction 53.0° east of due north…
A:
Q: A train at a constant 46.0 km/h moves east for 46.0 min, then in a direction 54.0° east of due north…
A: Given: speed of train (v) = 46.0 km/h time for which train moves in east direction t1 = 46.0 min.…
Q: l from Rotterdam, heading due north at 7.00 m/s relative to the water. The local ocean current is…
A: Given:- A ship sets sail from Rotterdam, heading due north at 7.00 m/s relative to the water. The…
Q: A ship sets sail from Rotterdam, The Netherlands, heading due north at 7.00 m/s relative to the…
A:
Q: A cameraman on a pickup truck is traveling westward at 20 km/h while he records a cheetah that is…
A: a) The required magnitude of the acceleration relative to cameraman is, b) The direction of…
Q: 7. A plane has an airspeed of 142 m/s. A 30.0 m/s wind is blowing southward at the same time as the…
A: Given: speed of plane v = 142 m/s (let θ° north of east) speed of wind u = 30 m/s (southwards)…
Q: an airplane is heading due east at the speed of 550 mi/h (246m/s) relative to the ground. the jet…
A: In this problem total velocity is the sum of velocity of plane and wind Where, Vw = velocity of the…
Q: A plane is initially traveling at a speed of 219 km/hr in the direction 38.4° north of west. Three…
A:
Q: cannonball is fired with a velocity of 30 m/s at angle above the horizontal. It reaches a horizontal…
A:
Q: 36. An airplane has an airspeed of 400 km/h and is heading due west. If it encounters a wind blowing…
A: 36. Let the airspeed of the airplane which is heading due west be vp, the velocity of the wind…
Q: As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 60.0° north…
A: Given: The speed of the hurricane = 41 Km/hr. The direction of the hurricane = 60 0 north of west
Q: A sailboat sails from Marblehead Harbor directly east for 45 nautical miles, then 60 degree south of…
A:
Q: The speedboat B is cruising to the north at 74 mi/hr when it encounters an eastward current of speed…
A: Given data: The speed of the boat B to the north, vB=74 mihr The speed of the boat B to the…
Q: (a) All ali pial is 45° south of west, while its direction of travel relative to the air is 5° south…
A:
Q: A plane is travelling with a velocity relative to the alr of 3.5 x 10 km/h [N 35° W] as it passes…
A:
Q: An airplane traveling at 80 m/s at an altitude of 250 m drops an object on a fixed boat in the sea.…
A:
Q: A jet airliner moving initially at 3.80 ✕ 102 mi/h due east enters a region where the wind is…
A: Since the jet is moving only in the horizontal direction relative to air, the vertical component of…
Q: motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00…
A:
Q: h. the velocity of the ball at 10 seconds with respect to x-direction i. the position of the ball at…
A:
Q: A passenger on a moving train walks at a speed of 1.60 m/s due north relative to the train. The…
A:
Q: An airplane pilot sets a compass course due west and maintains an airspeed of 220 km/h. After flying…
A: Given Data: The velocity of the airplane along west is, v = -220 i^ km/h. The time is, t = 0.5 h.…
Q: 3. The current in a river moves at 2.0 m/s [S]. How fast and in what direction must a swimmer move…
A: Velocity of river (v) = 2 m/s (due south) Let the velocity of swimmer = v'
Q: A ship sets sail from Rotterdam, The Netherlands, heading due north at 8.5 m/s relative to the…
A: Given Data: The velocity of ship relative to water is Vsw=8.5 m/s due north. The velocity of water…
Q: A train at a constant 80.0 km/h moves east for 36.0 min, then in a direction 55.0° east of due north…
A: It is given that,
Q: A pilot wants to fly north. The plane has an air speed of 350 km/h. There is a 50 km/h wind blowing…
A:
A ship sets sail from Rotterdam, The Netherlands, heading due north at 5.00 m/s relative to the water. The local ocean current is 1.54 m/s in a direction 40° north of east. What is the velocity of the ship relative to the earth?
m/s °
N of E
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
- A ship sets sail from Rotterdam, The Netherlands, heading due north at 7.00 m/s relative to the water. The local ocean current is 1.51 m/s in a direction 40° north of east. What is the velocity of the ship in meters per second relative to the Earth in degrees north of east? ________________m/s _________________° N of EA jet airliner moving initially at 3.80 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 29.5° 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. (b) Find the components of the velocity of the air relative to Earth, vAE (c) What are the speed and direction of the aircraft relative to the ground? magnitude _______ mi/h direction _______ °north of eastA jet airliner moving initially at 3.35 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 29.5° 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 (d) What are the speed and direction of the aircraft relative to the ground? magnitude mi/h direction ° north of east
- A jet airliner moving initially at 3.35 102 mi/h due east enters a region where the wind is blowing at 1.00 102 mi/h in a direction 35.5° 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, JA. vJA,x = mi/h vJA,y = mi/h (b) Find the components of the velocity of the air relative to Earth, AE. vAE,x = mi/h vAE,y = mi/h (c) Write an equation analogous to vAB = vAE − vBE for the velocities vJA, vAE, and vJE . (In the given equation, vBE is the velocity of observer B relative to observer E. Object A travels with velocity vAB relative to observer B, and velocity vAE relative to observer E.) vJA = vJA = vAE + 2vJE vJA = vAE − vJE vJA = vJE − vAE vJA = vJE + vAE (d) What are the speed and direction of the aircraft relative to the ground? magnitude mi/h direction ° north of eastA plane is flying to Minnesota with a velocity of 349.43 km/h, N. The plane encounters a crosswind with a velocity of 86.82 km/h, W. What is the magnitude of the resultant velocity of the plane? (Answer in km/h)From a first hospital, a small family travels via an SUV 25 km in a direction 30° south of west and then 30 km toward the north to a second hospital in search of a vacancy that will admit a severe-case CoViD-19 relative patient. What is the separation distance (in km) between the two hospital, i.e. magnitude of the resultant displacement? A. 15 B. 23 C. 28 D. 53 E. 55
- A 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 eastA river flowing southward has a current of 7 miles per hour. A motorboat in still water maintains a speed of 17 miles per hour. The motorboat starts at the west shore on a bearing of N40°E. What is the actual speed and direction of the boat?The figure shows a small plane flying at a speed of 180 miles per hour on a bearing of N50°E. The wind is blowing from west to east at 40 miles per hour. The figure indicates that v represents the velocity of the plane in still air and w represents the velocity of the wind. Find, a). Express v and w in terms of their magnitudes and direction angles. b). Find the resultant vector, v + w. c). The magnitude of v + w, called the ground speed of the plane, gives its speed relative to the ground. Approximate the ground speed to the nearest mile per hour. d). The direction angle of v + w gives the plane’s true course relative to the ground. Approximate the true course to the nearest tenth of a degree. What is the plane’s true bearing?
- 1. A weather forecaster reported that a typhoon heading northwest is moving at 115 kilometers in 1 hour. Which of the following describes the velocity of the typhoon? A. 115 km B. 115 km NW C. 115 km/h D. 115 km/h NW 2. The speed limit sign in the nearest road in your neighborhood is 30kph (kilometers per hour). Who among the following drivers will serve as an example for you to obey the speed limit and other traffic signs to avoid accidents? A. A motorcycle driver who covers a distance of 20 kilometers in 30 minutes or 0.5 hour. B. A tricycle driver running a 140-kilometer distance in 5 hours. C. A taxi driver travelling 200 kilometers in 2 hours. D. A truck driver with 500 kilometers in 10 hours.A plane is headed due east with air speed 240kph. If a wind of 40kph is blowing from the north, find the ground speed of the plane.The velocity of a plane relative to still air is 135 mi/hr. The pilot wants to fly straight north over the ground. A ground observer tells the pilot by radio that a 70 mi/hr wind is blowing, but forgets to tell her the wind direction. The pilot observes that, in spite of the wind, she can travel 135 miles north over the ground in one hour (i.e., her ground speed is the same as if there was no wind). a.) Draw a picture b.) What is the direction of the wind relative to the ground?