09:22Breaking down vectors into components | Vectors | Precalculus | Khan AcademyKhan Academy504views1rank
Multiple ChoiceIf the vector E⇀ shown in the figure has components Ex=3.0 and Ey−1.3, what is θ? 371views
Multiple ChoiceA toy gun shoots a plastic ball 10m/s at an angle of 25° above the horizontal. What is the vertical component of the ball's velocity when it left the gun?286views
Textbook QuestionVector 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. 3473views1rank1comments
Textbook QuestionFind the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = −8.60 cm, Ay = 5.20 cm:1029views1rank
Textbook QuestionCompute the x- and y-components of the vectors A, B, C, and D in Fig. E1.24. 1247views
Textbook QuestionYour 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.)731views
Textbook QuestionA 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?611views
Textbook QuestionJack 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?338views
Textbook QuestionLet 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. 849views
Textbook QuestionWhat are the x- and y-components of the velocity vector shown in FIGURE EX3.20? 824views
Textbook QuestionTom 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?686views
Textbook QuestionKami 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?296views
Textbook QuestionJack 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?359views
Textbook QuestionYou 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?610views
Textbook QuestionLet 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.440views
Textbook QuestionDraw 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)364views
Textbook QuestionDraw each of the following vectors. Then find its x- and y-components. (b) = v = (440 m/s, 30 degrees below the positive x-axis)396views
Textbook QuestionA 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?460views
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.<IMAGE>271views
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>317views
Open 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,233views
Textbook QuestionLet 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;523views
Textbook QuestionVector 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?644views
Textbook QuestionDraw 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)242views
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. 392views
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, 195views
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, 166views
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