In calm air a plane flying from the Pedimaxus International Airport can reach Cliffs of insanity in two hours by following a bearing of N8.2 degrees East at 96 miles an hour. (The distance between the airport and the cliffs is 192 miles. ) If the wind is blowing from the southwest at 25 miles per hour, what speed and bearing should the pilot take so that she makes the trip in two hours along the original heading?

Q: If the +x- and +y-axes point to East and North respectively, what are the components of vector A=…

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Q: A river has a constant current of 3 kilometers per hour. At what angle to a boat dock should a…

A: Current speed, v1 = 3 km/hr Speed of the boat, v2 = 25 km/hr Let v be the resultant speed of the…

Q: I’m confused on p 3.19.

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Q: boat travels 72 miles on a course of bearing N 27° E and then changes its course to travel 37 miles…

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Q: Oasis B is 25 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction 15°…

A: Write the given values of the problem- Oasis B is 25 km due east of oasis A Oasis A a camel makes…

Q: A commuter airplane starts from an airport and takes the route shown in Figure P3.17. The plane…

A: Using the given figure- The displacement vector of the airplane from point O to A,…

Q: Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a…

A: Using kinematic equation of motion,

Q: From a boat sailing due north at 16.5 km/h, a wrecked ship K and an observation tower T are observed…

A: Drawing the diagram will help us to understand the problem. So , let's see the diagram. After that…

Q: Suppose Alex is navigating using a compass. She starts walking at an angle 60° north of east and…

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Q: An arrow fired horizontally at 41 km/hr travels 9.9 m horizontally. From what height was it fired?

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Q: An unidentified naval vessel is tracked by the Navistar Global Positioning System. With respect to a…

A: SOlution: Given that x1 = 2 km west y1 = 1.6 km south t1 = 0.3 h x2 = 6.4 km west y2 = 6.5 km north…

Q: In what direction is your friend from the starting point after skiing 2.00 kmkm east and then 1.90…

A: Given data:  Firstly goes 2.00 km east and then 1.90 km north  Required: The direction from starting…

Q: You are walking out for an early morning walk. You walk 5.0 m, south and 12.0 m, east. Then, you…

A: East , West as X axis , North and South as Y axis  Unit vectors along them are i,j

Q: On a sunny day in Pampanga hot air balloon festival is being held, a balloon is ascending at the…

A: We use the formula h=h0+uyt-12gt2

Q: If you walk 38 steps at an angle of 76 (relative to the positive x-axis) and then turn and go 45…

A: Displacement is the shortest distance between two pointsIf an object moves from position r1 →to r2…

Q: An Archer shoots at a target that is 29 km away, and 12.5 m above the ground. If the arrow is…

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Q: A football player releases a ball with the initial conditions shown in the figure. Determine the…

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Q: A person walks 33.0° north of east for 2.30 km. How far due north and how far due east would she…

A: In the picture, AB = 2.30 km He has to travel AC along east and BC along north

Q: A jetliner flies east for 610km,then turns 30degrees towards south and flies for another 138km. How…

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Q: A commuter airplane starts from an airport and takes the route shown in the figure below. The plane…

A: Given data: Distance = 175 km away Direction =30° north of east second distance =150 km Direction…

Q: magnitude and direction of the result

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Q: A čar travels 30km due east and 35km in a direction 20° north of east. X component of the resultant…

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Q: The Ferris wheel revolves once every two minutes. It has a radius of 60 ft and its center is located…

A: Given,  The Ferris wheel revolves once every two minutes. The Ferris wheel has a radius of 60 ft and…

Q: A fishing boat leaves port on a bearing of 33° and travels 12.7 mi. The boat then turns due east and…

A: The correct answer is option (2) i.e. 14.2 mi; 41.2°

Q: An arrow fired horizontally at 41 km/hr travels 1.8 m horizontally. From what height was it fired?

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Q: Andrea is paddling a kayak. She starts from a dock and paddles 13.5km S550W. Then she decides to…

A: First displacement of Andrea (d1→) = 13.5 km ( 55 degree west of south)= 13.5 ( - sin55oi^ -…

Q: A plane leaves the airport in Galisteo and flies 170 km at 68.0° east of north; then it changes…

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Q: An ocean liner leaves New York City and travels 16.2° north of east for 117 km. How far east and how…

A: a) The distance travelled along East direction is    DEast=(117 km)cos16.2o           =112 km

Q: An airplane flies 200 km due west from city A to city B and then 300 km in the direction of 30.0°…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A boat is travelling 72 miles on a course of bearing N 27° E, it then changes its course to travel…

A: Please see the answer below.

Q: A ball thrown horizontally at 40 m/s travels a horizontal distance of 88 m before hitting the…

A: Given data The horizontal velcoity of the ball is v = 40 m/s. The distance traveled by the ball is S…

Q: A person walks 66˚ west of north for 2.93 km. How far due north and how far due west would she have…

A: Answer  option(1)1.19 km north and 2.68 km west

Q: What is the result of the combination of the component vectors, 92 km/h East and 79 km/h East? a…

A: 3.  v1 = 92 km/h east v2 = 79 km/h east

Q: The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight…

A: Consider the figure,

Q: What is the resultant displacement when a ship sails 200km due north and then 150km due east?

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Q: An airplane takes off from Masipag runway which has a bearing of N 28° E. After flying for 3 miles,…

A: given that,bearing angle of runaway = N 28° E

Q: A plane leaves the airport in Manila and flies 170 km east and then changes direction to fly 230 km…

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Q: A boy named Jose walks westward for 5 km and then northward for 5 km and then 5 km southwest. If he…

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Q: Sin and Cos Law - Component Method with Magnitude and Direction a.) 44 km 40° West of North b.) 26…

A: (a) A = 44 km 40° West of North A→ = 44 (- sin 40 i^ + cos 40j^ )A→ =28.3 i^ + 33.7j^

Q: An airplane is cruising at a speed of 257.2 m/s along a straight line and makes a turn along a…

A: Speed, V = 257.2 m/s Centripetal acceleration, ac = 3g = 3×9.8 m/s2 = 29.4 m/s2 Formula for…

Q: An airplane left an airport and flew 105 mi in the direction of North 50.4000 deg E, then turned and…

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Q: An fighter aircraft has left the airbase and travels 30 km due south. On the other hand, a bomber…

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Q: Erik and Manuel drive at a compass heading of 270 west of south for 18 km to Trece Martires, then…

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Q: A boat leaves port and follows a course of N78°E at 9 knots for 3 hr and 20 min. Then, the boat…

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Q: An airplane left an airport and flew 105 mi in the direction of N 50.4000 deg E, then turned and…

A: Given: The first displacement is 105 mi. The direction is 50.4 degrees East. The second displacement…

Q: What is the vertical component of the wind's velocity if it blows 35 km/h, 29° north of east? O…

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Q: A commuter airplane starts from an airport and takes the route shown in Figure P3. 19. The plane…

A: The figure below show the location of the cities,

Q: A GPS receiver told you that your home was 15.0 km at a direction 40° north of west but the only…

A: GivenResultant location of home, R=15.0 km ,40° N of WDistance walked in north direction, P=10 km

Q: An experimental jet rocket travels around Earth along its equator just above its surface. At what…

A: The radius of the Earth, r=6.4×106 m   The centripetal acceleration, α=9.8 m/s2

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.