3. Vectors

Vector Composition & Decomposition

3. Vectors

# Vector Composition & Decomposition - Video Tutorials & Practice Problems

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## Vector Composition & Decomposition

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## Calculating Magnitude & Components of a Vector

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PRACTICE PROBLEMS AND ACTIVITIES (24)

- Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is ...
- Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = −8.6...
- Compute the x- and y-components of the vectors A, B, C, and D in Fig. E1.24.
- Your neighbor Paul has rented a truck with a loading ramp. The ramp is tilted upward at 25°, and Paul is pulli...
- A jet plane taking off from an aircraft carrier has acceleration a = ( 15 m/s², 22° above horizontal). What ar...
- Jack and Jill ran up the hill at 3.0 m/s. The horizontal component of Jill's velocity vector was 2.5 m/s. b. ...
- Let B = (5.0 m, 30 degrees counterclockwise from verically up). Find the x- and y- components of B in each of ...
- What are the x- and y-components of the velocity vector shown in FIGURE EX3.20?
- Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.5 m above the gr...
- Kami is walking through the airport with her two-wheeled suitcase. The suitcase handle is tilted 40° from vert...
- Jack and Jill ran up the hill at 3.0 m/s. The horizontal component of Jill's velocity vector was 2.5 m/s. a. ...
- You are fixing the roof of your house when a hammer breaks loose and slides down. The roof makes an angle of 3...
- Let C = (3.15 m, 15 degrees above the neagtive x-axis) and D = (25.6, 30 degrees to the right of the negative ...
- Draw each of the following vectors. Then find its x- and y-components. (a) v = (7.5 m/s, 30 degrees clockwise ...
- Draw each of the following vectors. Then find its x- and y-components. (b) = v = (440 m/s, 30 degrees below th...
- A cannon tilted upward at 30° fires a cannonball with a speed of 100 m/s. What is the component of the cannonb...
- (II) An airplane is traveling 815 km/h in a direction 41.5° west of north (Fig. 3–40).(a) Find the components ...
- (II) (a) A skier is accelerating down a 30.0° hill at 1.80 m/s² (Fig. 3–42). What is the vertical component of...
- Let θ be the angle that the vector A makes with the +x-axis, measured counterclockwise from that axis. Find an...
- Vector A has y-component Ay = +9.60 m. A makes an angle of 32.0° counterclockwise from the +y-axis. (a) What i...
- Draw each of the following vectors. Then find its x- and y-components. (c) F = (50.0 N, 36.9 degrees countercl...
- (III) You are given a vector in the xy plane that has a magnitude of 95.0 units and a y component of ― 60.0 un...
- (II) At t = 0, a particle starts from rest at 𝓍 = 0 , y = 0 and moves in the xy plane with an acceleration a ...
- (II) Two vectors, V₁ (→ above V₁) and V₂ (→ above V₂) , add to a resultant Vᵣ (→ above Vᵣ) = V₁ (→ above V₁) +...