The takeoff speed of a military aircraft from an aircraft carrier is approximately 170 mi/hr relative to the air. They acquire this speed through a combination of a catapult system present on the aircraft carrier and the aircraft's jet propulsion system. A common strategy is to head the carrier and the plane into the wind. If a plane is taking off from an aircraft carrier which is moving at 40 mi/hr into a 20 mi/hr headwind, then what speed relative to the deck of the aircraft carrier must it obtain to takeoff?

Q: A ball is tossed with an initial velocity of 22m/s in the x-direction only, from 35m above level…

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Q: An object is launched at a velocity of 17 m/s in a direction making an angle of 38 degrees upward…

A: Velocity=17m/s Angel=38degree

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A: This question is analogous to a projectile being launched at a certain angle from a certain height…

Q: A ferryboat has a still water speed of 10.3 km/hr. Its helmsman steers the boat due north across a…

A: Calculate the width of the water. w=vftw=(10.3 km/hr)(1.5 hr)w=15.45 km

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A: Given value--- Initial speed = 26 m/s. angle = 34 degree . We have to find--- flight time?

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Q: A physics book slides off a horizontal tabletop with a speed of 1.1 m/s. It strikes the floor in…

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Q: A ferry with a velocity of 6.55 m/s travels from one side of a 945 m wide river to the other side at…

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Q: A plane headed due south is traveling with an airspeed of 200 miles per hour. The wind currents are…

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Q: Consider the motion of a baseball. It has an initial position (Xo Yo) = (0,3.5) feet when it is hit…

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Q: A soccer ball is kicked so that it leaves the ground traveling at 15.6 m/s and at an angle of 29.9…

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Q: A daredevil drove his motorcycle up an incline at 20 degree angle with the horizontal and drove off…

A: An object is said to be projectile motion, if in the entire motion , the only force acting is the…

Q: A soccer player kicks a ball with an initial upward velocity component of 10.5 m/s and a horizontal…

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Q: A ball is kicked at ground level with an initial velocity of 16 m/s in the horizontal direction and…

A: Given data:  Initial horizontal velocity (v0x) = 16 m/s Initial vertical velocity (v0y) = 15 m/s…

Q: Jennie rides a yacht traveling west at a velocity of 15 m/s across a river that is flowing northwest…

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Q: A jet airliner moving initially at 538 mph (with respect to the ground) to the east moves into a…

A: When the jet airliner moves into a region where the wind is blowing, Velocity of the plane in…

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Q: ground. This speed is relative to the air, in the direction in which the nose of the airplane…

A: The reference velocity of the airplane is v→AW=v→W+v→A=25^j^+80cosθi^+80sinθ-j^

Q: A cannon fires a shell traveling 150 m/s in the horizontal direction and 150 m/s in the vertical…

A: Given: The intial velocity of the shell in the vertical direction is 150 m/s. The initial velocity…

Q: Find the horizontal displacement when the rock hits the level ground below

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Q: A baseball, hit 5.5 feet above the ground, leaves the bat at an angle of 35°35° and is caught by an…

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Q: A Chinook (King) salmon (Genus Oncorynchus) can jump out of water with a speed of 5.89 m/s. (See…

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Q: A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one…

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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: A spaceship is traveling at a constant velocity of v(t) = 300.0i m/s when its rockets fire, giving…

A: The initial velocity of the object is 300.0iˆm/s.The acceleration of the object is…

Q: When a ball with a mass of 3 kg reaches 9 meters above the ground after being thrown obliquely from…

A: The given values are, m=3 kgh=9 mv=7i+6j m/sv=72+62 m/s=9.22 m/svx=7 m/svy=6 m/s

Q: what is the speed of the airplane

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Q: An object is launched at a velocity of 41 m/s in a direction making an angle of 57 degrees upward…

A: The object is launched with an initial velocity of u=41 m/s making an angle of 57o with the…

Q: The velocity of a particle moving in the x-y plane is given by (7.15i +4.12j) m/s at time t = 5.37…

A: We are given velocity of particle. We are also given average acceleration. We hence find the final…

Q: An airplane flies horizontally at a speed of 541 km/h and drops a crate that falls to the horizontal…

A:

Q: Initially, a particle is moving at 5.40 m/s at an angle of 37.2 above the horizontal. Two seconds…

A: The average acceleration in x-direction is given by,

Q: While standing at the second floor balcony in an apartment building at 2 meters above the ground,…

A:

Q: A cannonball is fired from the roof of a house, which is 3.5 m above ground level. The ball exits…

A: Given:-  The initial height of the ball from the ground is y = 3.5 m The initial speed of the ball…

Q: (a) Find the velocity and position vectors as functions of time t. m/s = m (b) Find the equation of…

A: a) The particle’s velocity can be determined as, The particle’s velocity can be determined as,

Q: Problem 5: An airplane is flying horizontally at a speed of 328 m/s. When the plane is directly…

A: vi,x=328 m/sx=17.8 km =17.8×103 m

Q: A swimmer heading directly across a river 200 m wide reaches the opposite bank in 3 min 20 s. She is…

A:

Q: You kick a soccer ball off a 3.5 m tall balcony. You kick the ball so it is traveling horizontally…

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Q: A packet is dropped from an airplane with a horizontal velocity in the positive x direction from a…

A: given : height of airplane, h = 80 m             horizontal distance of the point where packet is…

Q: A ball is kicked at ground level with an intitial velocity of 19.5 m/s in the horizontal direction…

A: The expression for the maximum height is,

Q: An object is moving with a horizontal velocity of 14 m/s and a vertical velocity of 27 m/s.  What is…

A: Given that                       The horizontal velocity (vx) = 14m/s                       The…

Q: catapult is placed 100 feet from the castle wall, which is 35 feet high. The soldier wants the…

A: GivenA catapult is placed 100 feet from the castle wall, Height of wall, H=35 ftInitial velocity of…

Q: A projectile is thrown from the top of a building with an initial velocity of 300m/s in the…

A: It is given that, Horizontal speed, ux=300 m/sHeight of building, h=30 mInitial vertical speed, uy=0…

Q: Find the magnitude of the wind velocity. Express your answer in kilometers per hour. | ΑΣφ ? v =…

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Q: A projectile is launched with an initial velocity of (3m/s)i+(2 m/s)j. Neglect air resistance. (a)…

A: Given data: The initial velocity of the projectile is V=(3 m/s)i+(2 m/s)j.   Part-(a) The vertical…

Q: During a recent winter storm, bales of hay had to be dropped from an airplane to a herd of cattle…

A: Given Information: Speed of the airplane is v = 58m / s Altitude of the airplane is h = 172m One…

Projectile Motion