04. A 0.317-kg ball traveling at 7.42 m/s west collides head on with a 1.02-kg ball moving in the opposite direction at a velocity of 10.2 m/s. The 0.317-kg ball rebounds at 15.6 m/s after the collision. Find the velocity of the second ball. (use west as the positive direction)

Q: A = 2î + 3j + & B = -41 + 23 – k C = 21 – 3j + 4k a) (AX B) · č b) (BX A) c) (AXB) · (CXB)

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Q: Problem 3 Give all answers for this problem to 2 significant figures. Convert the following vectors…

A: 3. (a) Convert the following vectors from Cartesian to polar form. r=x2+y2=42+-62=7.2 The direction…

Q: below. Vector A has magnitude A = Two vectors lying in the x-y plane are defined by their magnitudes…

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Q: Vector in the sum A + B = C  A  It has a size of 22 m and has an angle of 43 ° counterclockwise from…

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Q: Determine the values of I, and I, that satisfy the following two equations. 9.05 + 3.50/, - 2.90/2 =…

A: Write the first given equation, and resolve it as follows.…

Q: Find the direction of the resultant vector.  Vector 1: 13 units. 0° Vector 2: 21 units. 90°…

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Q: If C is added to B. the result is -9å + 5ĵ. If B is subtracted from C. the result is 4î – ĵ . Find…

A: C→ + B→ = -9i^ + 5j^    ...(1)C→ - B→ = 4i^ -j^    ...(2)

Q: Determine the constants, A and B: 2x-3/(x-3)(x-4) = A/x-3 + B/x-4

A: We solve the equations by comparision of terms.

Q: Say we have à = 21+ 3) and à - B = 0. a) If B=51+ B). What is the value of By? b) If |B| = 1. How…

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Q: Determine the y component of the unit vector (magnitude of P=1) shown below. Write the numerical…

A: The unit vector P makes an angle of (90°-30°)=60° with y axis.

Q: onsider the parabola y = 7x - x², (a) Find the slope of the tangent line to the parabola at the…

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Q: Supply all missing information with the correct numerical values. Do not include the units. Round…

A: A→=5.3 mcos12°i^+5.3 msin12°j^=5.184 m  i^+1.102 m j^B→=-2 mcos45°i^+2 msin45°j^=-1.414 m  i^+1.414…

Q: Supply all missing information with the correct numerical values. Do not include the units. Round…

A: Given    Let A be the displacement vector with a magnitude of 5.3 meters directed 12 degrees in the…

Q: For a given 3-Dimensional vector: A = Axi + Ayj + Azk Its magnitude maybe obtained by product also…

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Q: If A = 34 m, B = 34 m, and the magnitude of A + B = 48, which of the following is true? O A and B…

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Q: D1.4. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4), and C(-3, 1, 5).…

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Q: 2. Vector A = 25 m at 30° N of W. Vector B = 30 m at 40° E of S and vector C = 40 m due W.…

A: Given value--- Vector vec A = 25m at 30° N of W. Vector vec B = 30m at 40° E of S and vector vec C…

Q: Supply all missing information with the correct numerical values. Do not include the units. Round…

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Q: Add the following two vectors if Keep a few digits. A= 15 a= 20 degrees B=11N b= 40 degrees B. C= at…

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Q: A = 34 m, B = 34 m, and the magnitude of A + B = 48, which of the following is true?

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Q: An airplane flies 200 km due west from city A to city B and then 340 km in the direction of 31.0°…

A: Given: An airplane flies 200 km due west from A to B. Again it flies 340 km in the direction of 31°…

Q: In the sum A+B=Č , vector has a magnitude of 18 m and is angled 39° counterclockwise from the +x…

A: This is a problem related to vectors. The below-given diagram shows the arrangement of the given…

Q: The figure shows a 2D coordinate system S (red) and another coordinate system S' (blue). S' is…

A: (a)i^' is unit vector along x' and j^' is unit vector along y'so resolving them along old x,y axis…

Q: A treasure gives the following directions to a buried treasure: "Start at the gravestone of Sméagol.…

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Q: The angle made by the two vectors A i + 4j + 5k and B = 5i + 7j + 9k is: A 14.80 degrees 34.80…

A: Given: A→=i^+4j^+5k^B→=5i^+7j^+9k^

Q: A small plane takes off from an airport and begins to climb at a 10.0° angle of elevation at 3,000…

A: Angle (θ) = 10°,above the horizontalSpeed (v) = 3000 ft/minTime (t) = 6.00 minRequired:Distance…

Q: 4) What is the angle between the two vectors à and B?

A: Given: vector A can be written as A⇀ = 20j^ Vector B⇀=-10i^ + 15j^

Q: A fishing boat leaves a marina and follows a course of S64°W at 9 knots for 20 min. Then the boat…

A: Let's calculate the distance and direction of the boat.Part 1: Distance covered = 9 knots * 20…

Q: Using Pythagorean Theorem, compute the magnitude of the resultant vector. Vector 1: 13 units.…

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Q: Give all answers for this problem to 2 significant figures. Convert the following vectors from…

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Q: A plane takes off from an airport and flies to town A, located d₁ = 360 km from the airport in the…

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Q: Find two nonnegative numbers x and y such that xy = 162 and 6x + 3y is minimized. X = y =

A: X=9 Y=18

Q: Your friend lives 1.234 km south of you and it's a nice day, so you decide to walk from your house…

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Q: E. Use a ruler to determine (as well as you can) the ratio of the length of R compared to C (i.c. is…

A: (E)

Q: Use the determinant of a matrix to find the area of the triangle whose vertices are (6, -1), (8,5),…

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Q: 47 +5k and M = 31 + 4} +5k The angle made by the two vectors S = 3î is:

A: Dot product of two vectors can be calculated by A·B =|A| |B| cos θ  where Theta is the angle between…

Q: man walks 25.6245 m directed 127.1469 degrees from the positive x-axis, then he walks 18.7749 m…

A: The man first walks a distance A=25.6245 m in a direction 127.1469o then a distance B=18.7749 m in a…

Q: Question 1 What is the angle between the two vectors A = 32 + 4y and B = -82 +6 90 degrees O 0…

A: Given value--- vector A = 3 x + 4 y . vector B = -8 x + 6 y . We have to find--- angle between…