1. The eye of a hurricane passes over Grand Bahama Island in a direction 60.0◦ north ofwest with a speed of 41.0 km/h. Three hours later the course of the hurricane suddenlyshifts due north, and its speed slows to 25.0 km/h. How far from Grand Bahama isthe hurricane 4.50 h after it passes over the island?   2. Two vectors ˙a and ˙b have equal magnitudes of 4 units. They are oriented as shown in the figure below and their vector sum is ˙r.  Find a. the x and y components of ˙r,   b. the magnitude of ˙r, and   c. the angle ˙r makes with the positive x-axis.

Q: An artillery shell is fired with an initial velocity of 300 m/s at 64.5° above the horizontal. To…

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Q: A particle leaves the origin with an initial velocity v= (3.00i) m/s and a constant acceleration a =…

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Q: The driver drives the car 60 km east, then 80 km south, then 100 km southwest and then 120 km 30…

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Q: 6. One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of…

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Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

A: The initial velocity of the artillery shell is 330 m/s at 53° above the horizontal. In vector form…

Q: 2. Suppose two vectors are given by A = (5.0 m) ây + (2.0 m) ŷ and B = (-3.0 m) x – (5.0 m) ŷ. (a)…

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Q: 4. An artillery shell is fired with an initial velocity of 250 m/s at 60.0° above the horizontal to…

A: initial velocity,  u =250 m/s  Angle, A = 60 degree time, t = 62 s

Q: 1. What vector quantity is involved in the following problem? * A girl delivering newspapers covers…

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Q: Given 4 vectors with magnitude of 200 for V1, 200 for V2, and 150 for V3 and 100 for V4. V1 has an…

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Q: A jet airliner, moving initially at 300mi/h to the east, suddenly enters a region where the wind is…

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Q: 2. An automobile travels 60 km due east and then 50 km due north. Wh the magnitude of the resultant…

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Q: To get to the net, a soccer ball must travel 35 m/s [S 40° W].  If one player kicks it 25 m [E],…

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Q: The xx-component of a velocity vector that has an angle of 31 ∘∘ to the +xx-axis has a magnitude of…

A: a) The required magnitude of the velocity,

Q: 5. A particle moves horizontally in uniform circular motion, over a horizontal xy plane. At one…

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Q: 1. A velocity vector has a magnitude of 1.85 m/s and makes an angle of 155° with the +x axis. (a)…

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Q: A spaceship maneuvering near Planet Zeta is located at…

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Q: 16. ao A puck is moving on an air hockey table. Relative to an x, y coor- dinate system at time 1 =…

A: Given data The x component of the velocity is,  V0x=1 m/s The x component of the acceleration is,…

Q: *32. ao A jogger travels a route that has two parts. The first is a dis- placement A of 2.50 km due…

A: Draw the position diagram of the jogger as:

Q: 6. From the window of a building, a ball is tossed from a height yo above the ground with an initial…

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Q: Can a vector have zero magnitude and a nonzero component? If no, why not? If yes, give an example.

A: The magnitude of a vector is the square root of the sum of the squares of the components of the…

Q: I| Suppose E = 2Á + 3B _where vector A has components A = 5, A, = 2 and vector B has components…

A: Solving two parts due to time boundation.

Q: 1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an…

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Q: A 240-m-wide river flows due east at a uniform speed of 3.3m/s. A boat with a speed of 7.7m/s…

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Q: 6 During a baseball practice session, the cutoff man A executes a throw to the third baseman B. If…

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Q: 52. || Suppose E = 2A+ 3B where vector A has components A, = 5, A, = 2 and vector B has components B…

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Q: 4) Jane is hang-gliding, flying northward at 12.0 m/s. Suddenly, a gust of wind blows to the east,…

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Q: 1) A ball is thrown at 14.0 m/s at 45° above the horizontal. Someone located 30.0 m away along line…

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Q: 4. A particle is moving in the xy plane starting from the origin with an initial velocity in x of 15…

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Q: ............ .......... To start an avalanche on a mountain slope, an artillery shell is fired with…

A: Acceleration of shell will be equal to acceleration due to gravity in downward direction. So,…

Q: VectorI is 20.00km southeast, Z is14.00km west,A is 12.50km 35degree W of S, and L is 15.00km…

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Q: 3. What are the horizontal and vertical components of the fourth vector that must be added to…

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Q: Calculate the resultant vector using component method. A 40 km, 20o w of N A, = 57 km, 15° N of E A=…

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Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

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

Q: 10. Given a vector A,i + A,j + A,k, what is its magnitude? A. A,i + A, + A,k C. (A, + A, + A,)² B.…

A: Answer:- (B) (Ax2 + Ay2 + Az2)1/2    A vector Axi + Ayj + Azk . Its magnitude is  (Ax2+ Ay2+ Az2)1/2…

Q: Problem 1: The baseball player A hits the baseball at VA = 40 ft/s and 0A = 60° from the horizontal.…

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Q: 51. mmh On a safari, a team of naturalists sets out toward a research station located 4.8 km away in…

A: as per the data given in the question we have, direction A=4.8 km with θ=42° direction B=2.4 km with…

Q: Given an acceleration vector, initial velocity (uo.Vo, and initial position (xg.yo), find the…

A: From the question it is given that:  Acceleration: a(t) = cost i^ + 5sint j^ initial velocity:…

Q: Vector !A is in the direction 34.00 clockwise from the y-axis. The x-component of !A is Ax = -16.0m.…

A: The given data are: θ=34°Ax=-16 m

Q: 0 = 30° Vo = 25 m/s H = 200 m dx = ? A plane flying at 25 m/s is diving with an angle of 30° to the…

A: SOlution: Given that v0 = 25 m/s angle = 30 degree h = 200 m

Q: 1. An airplane trip involves three legs, with two stopovers. The first leg is due east for 620km;…

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.