An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the southeast at 40 km/hr. The plane will end up flying how much degrees off course? The plane's speed relative to the ground will be ?

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: An airplane with an airspeed of 120 km/h has a heading of 30° east of north in a wind that is…

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Q: A plane traveling 500 mph in the direction of 120° from the horizontal, encounters a wind of 80  mph…

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Q: If an arrow is fired from a bow with a perfectly horizontal velocity of 50.0 m/s and the arrow was…

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Q: The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed…

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Q: airplane with a still air velocity of 250.km/hr flies directly West to a destination that is 400.km…

A: if vectors are opposite their resultant R =A- B

Q: On a flight from Washington, DC, to the Bahamas, a pilot wishes to steer the plane directly south.…

A: We are given in the question, The velocity of plane relative to air VPA=300 km/h and Velocity of air…

Q: You threw a tennis ball from a balcony 2.6 m above the ground upward at 20 degrees above horizontal…

A: Given that Height of projection point h = 2.6 m Angle of projection = 20 degrees Initial speed V = 5…

Q: A boat crosses a river with a speed of 3 m/s. If the current in the river is 4 m/s, what is the…

A: Given:- 3 The  boat crosses a river with a speed  u = 3 m/s  The speed of the river is v = 4 m/s…

Q: Two ships leave at the same port at the same time. The first ship travels at the speed of 16 knots…

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Q: A river is flowing from west to east at a speed of 10.0 km/h. A boat’s speed in the water is 20.0…

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Q: A plane is to fly due north. The speed of the plane relative to the air is 200 km/h, and the wind is…

A: Given quantities: Velocity of plane relative to air (vpa) = 200 km/h Velocity of air relative to…

Q: A jetliner with an airspeed of 1000 km/h sets out on a 1500 km flight due south. To maintain a…

A: Given data: The total travel distance is d=1500 km The destination time is t=110 min Calculate the…

Q: On a sailboat, the wind coming at you from directly ahead can't be used to push you forward. However…

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Q: The pilot of an airplane traveling 180km/h wants to drop supplies to flood victims isolated on a…

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Q: A projectile is launched at an angle of 60 degrees to the horizontal at a speed of 10 m/s. If it…

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Q: At what altitude must a military plane flying horizontally at 175 m/s be in order to deliver relief…

A: Given that, Speed = 175 m/s Distance = 1750 m

Q: An airplane flies north relative to the ground in a 40 km / h wind to the east. If the speed of the…

A: Given:Vp = 80 km/hr due north Vw = 40 km/hr towards eastFind the speed relative to the air.Now,The…

Q: A pilot wishes to make a flight of 3.0x10 km [SW) in 0.75h. On checking with the meteorological…

A: Given: Distance of flight, d=3.0×102 kmTime of flight, t=0.75 hVelocity of the wind, v2=82 km/h

Q: You are standing 18.0 meters away from a building, which is 15.0 meters tall and has a large, flat…

A: We have to consider separately the vertical and the horizontal component of motion of the ball to…

Q: The compass of an aircraft indicates that it is headed due east, and its airspeed indicator shows…

A: According to the question, Also, it is given that, V→pw=150 kmhr Here, V→pw is the velocity of…

Q: an outfielder throws a baseball to the second baseman, the distance is 125 ft, the throw is at a…

A: Given Distance R = 125 ft = 38.1 m speed u = 80 mph = 35.76 m/s speed along x-axis ux = ucosθ speed…

Q: A sailor is stuck on a tropical island and emergency supplies are airlifted to her before the ship…

A: Given: Plane flying at an altitude of H = 200 ft or 60.96 m   m=ft3.2808 200 ft in meter is 60.96…

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: the same launcher is used to fire the ball at a 30˚ angle from ground level, how far (in meters)…

A: Value of speed is missing in this question

Q: Mr. Mangan is flying due north with a velocity of 150 m/s relative to the ground, into a west-bound…

A: Given Data: Velocity in North direction is Vn=150 m/s Velocity in West direction is Vw=80 m/s

Q: A rock is launched with an initial velocity of 10 m/s at an angle of 45 degrees above the…

A: Given : (Note : This is a multiple type question. So answer for the second question is providing…

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 missile is launched at is 55 degrees up from the horizontal. What is the initial speed for the…

A: The relation to find the horizontal displacement is x=v0cosθt Substitute and rearrange 10×103…

Q: A firefighter, 50.0 m from a burning building, directs a jet of water from a fire hose located at…

A: Horizontal range, L = 50 m Stream of water, v = 40 m/s  Angle = 30.0˚

Q: A brick is thrown at an angle of 30 degrees relative to the horizontal direction. If its horizontal…

A: Given Angle of projection is given as θ=30° Horizontal speed of the brick is ux=10 m/s   We have to…

Q: A pilot wishes to make a flight of 3.0x10 km [SW] in 0.75h. On checking with the meteorological…

A: Given- Distance= 300km TIme=0.75 hr or 45min(after conversion) Velocity=? θ=?

Q: A swimmer, capable of swimming at a speed of 1.20 m/s in still water, starts to swim directly across…

A: Given:-                  A swimmer, capable of swimming at a speed of 1.20 m/s in still water,…

Q: A plane flies at an airspeed of 234 km/h. A wind is blowing at 75 km/h toward the direction 60° east…

A: A plane flies at an airspeed of 234 km/h. A wind is blowing at 75 km/h toward the direction 60°…

Q: A sniper is shooting at a target 1 km away horizontally. The bullet hits the target 50 cm below the…

A: Given data: Bullet hits the target (y) = - 50 cm Need to determine the bullet’s time of flight.

Q: A diver running 2.8 m/s dives out horizontally from the edge of a vertical cliff and 2.5 s later…

A: Given values:Horizontal speed of diver, v = 2.8 m/sVertical speed of the diver, u = 0 m/s Time, t =…

Q: A tennis ball is hit with a vertical speed of 10m/s and a horizon speed of 15m/s. How long will the…

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Q: • You are riding on a Jet Ski at an angle of 35° upstream on a riverflowing with a speed of 2.8…

A: Given Data: The velocity of the river relative to the ground is, vwg=2.8 m/s The velocity of the Jet…

Q: On a day when the wind is blowing toward the south at 3 m/s, a runner jogs west at 4 m/s. What is…

A: velocity of wind = 3 m/s towards south velocity of jogger = 4 m/s towards west

Q: On a day when the wind is blowing toward the south at 5 m/s, a runner jogs east at 7 m/s. What is…

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Q: A plane flies at an airspeed of 241 km/h. A wind is blowing at 78 km/h toward the direction 60° east…

A: The velocity of an object is a relative quantity. it depends on the motion of the observer. If the…

Q: A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by…

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Q: an airplane flies between two points on the ground that are 500 km apart. The destination is…

A: Given data: Speed of plan in air, Va=120 m/s Speed of wind, VW=10 m/s Let the direction of plan from…

Q: An airplane is flying north. It makes a gradual 180° turn (at any instant, the turning angle is less…

A: Recalla=V2-V1∆t=average acceleration

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.