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 todetermine 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.

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A: Vi= 13m/s , h= 49.3m

Q: daredevil drove his motorcycle up an incline at 25 degree angle with the horizontal and drove off…

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

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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: The velocity of a particle moving in the x-y plane is given by (7.24i + 6.04j) m/s at time t = 4.27…

A: It is given that, u→=7.24i^+6.04j^ t1=4.27 s t2=0.022 s acceleration, a→=2.3i^+4.0j^

Q: The trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 2.8 m/s and…

A: The vertical component of initial velocity is, viy=vi sinθ=2.8 m/s sin9.5°=0.46 m/s   The kinematic…

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: Find the magnitudes of velocities v, and vg in the figure below, where, e = 20.5° and veot = 6.56…

A: θ = 20.5° Vtot = 6.56 m/s To find = VA and VB

Q: The trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 9.90 m/s and…

A: Analyze the diagram of the given situation

Q: An arrow is shot at an angle of 27° above the horizontal with an initial speed of 50 m/s. How long…

A: Given data:  A projectile motion Angle (θ) = 27°, above the horizontal Initial speed (u) = 50 m/s…

Q: A 0.30 kg football is thrown from a height of 2.5 m with an initial velocity of 25.0 m/s (34° above…

A:

Q: The velocity of a particle moving in the x-y plane is given by (6.07i+ 4.97j) m/s at time t = 3.87…

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Q: A subway train starts from rest at a station and accelerates at a rate of 1.60 m/s for 14.0 s. It…

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Q: Your gasoline runs out on an uphill road inclined at 16.5° above horizontal. You manage to coast…

A:

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 projectile is launched at an angle of 30° to the horizontal from 6.5 ft above the ground at an…

A: For projectile motion, where motion occurs in two dimensions (x and y), we use separate kinematic…

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…

A:

Q: space vehicle is coasting at a constant velocity of 23.7 m/s in the +y direction relative to a space…

A:

Q: A satellite in outer space is moving at a constant velocity of 21.2 m/s in the +y direction when one…

A: Given data: Velocity in y-direction, Vy=21.2 m/s Acceleration, a=0.360 m/s2 Time, t=40 s

Q: The velocity of a particle moving in the x-y plane is given by (3.70i + 7.44j) m/s at time t = 6.60…

A:

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: space vehicle is coasting at a constant velocity of 17.1m/s in the +y direction relative to a space…

A:

Q: A board 2.5 m long leans against a vertical wall. It starts to slide down the wall. The instant the…

A:

Q: A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a…

A: According to the kinematics equation of motion along y axis,…

Q: 1. In this problem we ignore air resistance. When a glass slides off a horizontal countertop with a…

A: Disclaimer:“Since you have posted a question with multiple sub-parts, we will solve first three…

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: The velocity of a particle moving in the x-y plane is given by (7.70i + 4.91j) m/s at time t = 7.38…

A: Given: The intial velocity is 7.7i+4.9j m/s. The average acceleration is 3.3i+2.6j m/s2. The time…

Q: A projectile is launched at an angle of 45° to the horizontal from 6 ft above the ground at an…

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Q: An ultrasound doppler meter is used to detect motion for an alarm system. The unit emits an…

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Q: A bomber flies horizontally with a speed of 347 m/s relative to the ground. The altitude of the…

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Q: At time t = 0 a small ball is projected from point A with a velocity of 159 ft/sec at the angle 54°.…

A: Given: t=0 u=159ft/s angle=54 deg To find: t1 and t2 when angle =31 deg.

Q: A plane drops a hamper of medical supplies from a height of 5580 m during a practice run over the…

A:

Q: A human expedition lands on an exoplanet. One of the explorers is able to jump a maximum distance of…

A: Given data:  A human expedition lands on an exoplanet  Maximum horizontal distance (Rmax) = 19.5 m…

Q: plane takes off and reaches a horizontal velocity of 288 km/h in 50 seconds l. What is the…

A:

Q: A satellite in outer space is moving at a constant velocity of 21.2 m/s in the ty direction when one…

A:

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: An ultrasound doppler meter is used to detect motion for an alarm system. The unit emits an…

A:

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

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Q: of 60 degrees from the horizontal. What is the horizontal

A: Given  Initial velocity is v_o=4.7 m/a Angle of projection is theta =60 °

Q: Neglecting air resistance, the path of a projectile that is propelled at an angle is y = g sec² 0…

A:

Q: A woman is on a train leaving the station at 3.0 m/s, while a friend waving goodbye runs alongside…

A: Given data as per the question velocity of train =7 m/s

Projectile Motion