Ship A is located 4.0 km north and 2.5 km east of ship B. Ship A has a velocity of 22 km/h toward the south, and ship B has a velocity of 40 km/h in a direction 37° north of east. (a) What is the velocity of A relative to B in unit-vector notation with toward the east? (b) Write an expression (in terms of and ) for the position of A relative to B as a function of t, where t 0 when the ships are in the positions described above. (c) At what time is the separation between the ships least? (d) What is that least separation?

Q: The vectors A and B are given by: A= 5 i - 3 j, and B=4i- 5 j. Find the direction of: C = A+ B (Mark…

A: The two vectors are , A = 5i - 3j , B = 4i - 5j To find = Direction of C = A + B

Q: (a) Draw u||y and v||u for the vectors appearing as in Figure (b) Which of u||y and v||u has the…

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Q: segment. Find the magnitude and direction of the resulting (overall) displacement of the plane (a)…

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Q: A delivery man starts at the post office, drives 35 km north, then 25 km west, then 50 km northeast,…

A: First leg of displacement of delivery man (d1) = 35 Km due north Second leg of displacement of…

Q: Consider two vectors.  a=19.5x+17.5y b=3.9x-4.5y    what is the angle of the vector a-b…

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Q: Consider the displacement vectors: A = (3i + 3j) m, B = (i - 4j) m, C = (-2i + 5j) m and an unknown…

A: given: A→=3i+3jB→=i-4jc→=-2i+5jR→=0i-7j

Q: The route followed by a hiker consists of three displacement vectors → A A → , → B B → , and → C C →…

A: The magnitude of vector A: 2140 m The direction of vector A: 21.0° north of east The direction of…

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Q: A dog searching for a bone walks 4.5m west, then 15.5m at an angle 40°north of east, and finally 3m…

A: Note :- : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Obtain expressions in component form for the position vectors having the following polar…

A: Given polar co-ordinates : a→r=12.0 m, θ=160°b→r=3.80 cm, θ=80°c→r=24.0 in, θ=202°

Q: Boat A is located 4km north and 2.5km east of ship B. Ship A with a speed of 22 km/hour is moving…

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Q: A room has dimensions 12 ft × 14 ft × 16 ft. A fly starting at one corner ends up at a diametrically…

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Q: wo vectors are given by đ = 1.3i + 1.8) and 3 = 7.9î + 1.6). Find (a) à x B (b) ở - B.(c)( a + B).…

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

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Q: What angle does the vector 2 i – 2 j (i.e. x-component +2 and y- component -2) make with the x-axis?…

A: Solution-Given thatvector =2 i – 2 jThe given vector can be shown in xy plane,

Q: Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.57 m due east, then…

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Q: = 23.00 from the vertical in the uphill direction as 29.0° with the horizontal. When a ski jumper…

A: Draw the free body diagram of the snow.

Q: Consider the three displacement vectors A=(3-3))m, B=(-4)m, and C=-(-2+ 5)m. Use the component…

A: Given data The vector A is A→=3i^-3j^ The vector B is B→=-4j^ The vector C is C→=2i^-5j^

Q: vector A has components Ax = −2.50 m and Ay = 6.00 m. Find the magnitude (in m) and the direction…

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Q: A jogger travels a route that has two parts. The first is a displacement A of 1.90 km due south, and…

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Q: Given two vectors a = 5i + 5j and b = 6i − 4j, find the magnitude and direction with respect to the…

A: Given:Two vectors:a→ = 5 i^ + 5 j^b→ =6 i^ - 4 j^

Q: Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters,…

A: Given -  Magnitude of vector A→ , is A= 5.3 m and is directed along 12o north of east  and Magnitude…

Q: where x is the A rocket is launched following the path h horizontal distance and h is the vertical…

A: Given data: Path of the rocket, h2=643x+11/2 Vertical speed of the rocket, dhdt=12 mi/s Height, h=1…

Q: Consider the three displacement vectors A = (41-3ĵ) m, B = (9î - 3ĵ) m, and C = (-61 +5ĵ) m. Use the…

A: a) Calculate the vector D. D→=A→+B→+C→D→=(4i^−3j^) m+(9i^−3j^) m+(−6i^+5j^) mD→=(7i^−1j^) m

Q: Given (Ā× B) - C. B) . Č. (a) Prove that for any three vectors Ā, B, and C, A · (B × C) = (Ả × B)

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Q: The flight path of the Rigelian hummingturtle as it searches for food has been experimentally…

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Q: In the next sets, you are given the magnitude and one component. There is an ambiguity in…

A: 6) A) Ay = 42|A| = 72

Q: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction…

A: Given, Position of oasis B from oasis A, d=8 i km, i represents east Displacements of camel, d1=20…

Q: A plane with a speed relative to still air of 78.5m/s is heading due south. After one hour an…

A: Given plane is directed due south. With speed relative to still air a=78.5m/s Later on it is…

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Q: A river of width' a 'with straight parallel banks flows due north with speed u. The points O and A…

A: Gravity and motion together make up the trajectory of an object. As a function of time, the…

Q: A few second after

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Q: The position of a moving particle in vortex is expressed as, x(t) = x0 sin(at3 + bt3/2) where x0is…

A: x(t)=x0Sin(at3+bt3/2)Sin is a transcendental function. Its argument has to be dimensionless.Since…

Q: Vector V1 is 5.0 units long and points along the negative x-axis. Vector V2 is 10.0 units long and…

A: V1 = 5 units (Along negative x axis) V2 = 10 units @30o above the x axis

Q: Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40°…

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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.