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3. Vectors

Vector Composition & Decomposition

3. Vectors

Vector Composition & Decomposition

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Vector Composition & Decomposition

Vector Composition & Decomposition

Calculating Magnitude & Components of a Vector

Calculating Magnitude & Components of a Vector

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Anderson Video - Vector Components

Anderson Video - Vector Components

Vector Components Introduction

Vector Components Introduction

Physicshelp Canada

Vector Components- Samples (Physics)

Vector Components- Samples (Physics)

Physicshelp Canada

Breaking down vectors into components | Vectors | Precalculus | Khan Academy

Breaking down vectors into components | Vectors | Precalculus | Khan Academy

Vector components on a grid

Vector components on a grid

Showing 5 of 5 videos

Practice this topic

Multiple Choice

\overset{⇀}{E}

shown in the figure has components

E_{x} = 3.0

E_{y} - 1.3

Multiple Choice

The figure shows vectors

\overset{⇀}{A}

\overset{⇀}{B}

. What are the x and y components of

\overset{⇀}{A}

Multiple Choice

A toy gun shoots a plastic ball

10 m / s

at an angle of 25° above the horizontal. What is the vertical component of the ball's velocity when it left the gun?

Textbook Question

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 60.0° below the x-axis in the fourth quadrant (Fig. E1.35). Use components to find the magnitude and direction of (b) A - B In each case, sketch the vector addition or subtraction and show that your numerical answers are in qualitative agreement with your sketch.

Has a video solution.

Textbook Question

Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = −8.60 cm, Ay = 5.20 cm:

Has a video solution.

Textbook Question

Compute the x- and y-components of the vectors A, B, C, and D in Fig. E1.24.

Has a video solution.

Textbook Question

Your neighbor Paul has rented a truck with a loading ramp. The ramp is tilted upward at 25°, and Paul is pulling a large crate up the ramp with a rope that angles 10° above the ramp. If Paul pulls with a force of 550 N, what are the horizontal and vertical components of his force? (Force is measured in newtons, abbreviated N.)

Has a video solution.

Textbook Question

A jet plane taking off from an aircraft carrier has acceleration a = ( 15 m/s², 22° above horizontal). What are the horizontal and vertical components of the jet's acceleration?

Has a video solution.

Textbook Question

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. What was the vertical component of Jill's velocity?

Has a video solution.

Textbook Question

Let B = (5.0 m, 30 degrees counterclockwise from verically up). Find the x- and y- components of B in each of the two coordinate systems shown in FIGURE EX3.21.

Has a video solution.

Textbook Question

What are the x- and y-components of the velocity vector shown in FIGURE EX3.20?

Has a video solution.

Textbook Question

Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.5 m above the ground. His weight of 680 N is a vector pointing vertically downward. (Weight is measured in newtons, abbreviated N.) What are the components of Tom's weight parallel and perpendicular to the ladder?

Has a video solution.

Textbook Question

Kami is walking through the airport with her two-wheeled suitcase. The suitcase handle is tilted 40° from vertical, and Kami pulls parallel to the handle with a force of 120 N. (Force is measured in newtons, abbreviated N.) What are the horizontal and vertical components of her applied force?

Has a video solution.

Textbook Question

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. What was the angle of the hill?

Has a video solution.

Textbook Question

You are fixing the roof of your house when a hammer breaks loose and slides down. The roof makes an angle of 35° with the horizontal, and the hammer is moving at 4.5 m/s when it reaches the edge. What are the horizontal and vertical components of the hammer's velocity just as it leaves the roof?

Has a video solution.

Textbook Question

Let C = (3.15 m, 15 degrees above the neagtive x-axis) and D = (25.6, 30 degrees to the right of the negative y-axis). Find the x and y components of each vector.

Has a video solution.

Textbook Question

Draw each of the following vectors. Then find its x- and y-components. (a) v = (7.5 m/s, 30 degrees clockwise from the positive y-axis)

Has a video solution.

Textbook Question

Draw each of the following vectors. Then find its x- and y-components. (b) = v = (440 m/s, 30 degrees below the positive x-axis)

Has a video solution.

Textbook Question

A cannon tilted upward at 30° fires a cannonball with a speed of 100 m/s. What is the component of the cannonball's velocity parallel to the ground?

Has a video solution.

Textbook Question

(II) An airplane is traveling 815 km/h in a direction 41.5° west of north (Fig. 3–40).

(a) Find the components of the velocity vector in the northerly and westerly directions.

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Has a video solution.

Textbook Question

(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 her acceleration?

<IMAGE>

Has a video solution.

(II) At t = 0, a particle starts from rest at 𝓍 = 0 , y = 0 and moves in the xy plane with an acceleration a (→ above a) = (4.0 î + 3.0 ĵ ) m/s². Determine

(a) the 𝓍 and y components of velocity,

Textbook Question

Let θ be the angle that the vector A makes with the +x-axis, measured counterclockwise from that axis. Find angle θ for a vector that has these components: (a) Ax = 2.00m, Ay = −1.00 m;

Has a video solution.

Textbook Question

Vector A has y-component Ay = +9.60 m. A makes an angle of 32.0° counterclockwise from the +y-axis. (a) What is the x-component of A? (b) What is the magnitude of A?

Has a video solution.

Textbook Question

Draw each of the following vectors. Then find its x- and y-components. (c) F = (50.0 N, 36.9 degrees counterclockwise from the positive y-axis)

Has a video solution.

Textbook Question

(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 units. (a) What are the two possibilities for its 𝓍 component? (b) Assuming the 𝓍 component is known to be positive, specify the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the ― 𝓍 direction.

Has a video solution.

Textbook Question

(II) At t = 0, a particle starts from rest at 𝓍 = 0 , y = 0 and moves in the xy plane with an acceleration a (→ above a) = (4.0 î + 3.0 ĵ ) m/s². Determine

(a) the 𝓍 and y components of velocity,

Has a video solution.

Textbook Question

(II) Two vectors, V₁ (→ above V₁) and V₂ (→ above V₂) , add to a resultant Vᵣ (→ above Vᵣ) = V₁ (→ above V₁) + V₂ (→ above V₂). Describe V₁ (→ above V₁) and V₂ (→ above V₂) if

(b) V²ᵣ = V²₁ + V²₂,

Has a video solution.

Showing 28 of 28 practice