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A particle is given velocity 3m/s along the positive x-axis subjected to a constant acceleration 4m/s along the positively y-axis. find the displacement of the particle in 2 seconds?
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A particle is given velocity 3m/s along the positive x-axis subjected ...
Given information:
- Initial velocity along x-axis (ux) = 3 m/s
- Acceleration along y-axis (ay) = 4 m/s2
- Time (t) = 2 seconds
Displacement along x-axis:
- Using the formula, sx = uxt + (1/2)axt2
- sx = (3)(2) + (1/2)(0)(2)2
- sx = 6 meters
Displacement along y-axis:
- Using the formula, sy = uyt + (1/2)ayt2
- Initial velocity along y-axis (uy) = 0 m/s
- sy = (0)(2) + (1/2)(4)(2)2
- sy = 8 meters
Net displacement:
- The net displacement can be found using the Pythagorean theorem:
- s = √(sx2 + sy2)
- s = √(62 + 82)
- s = √(36 + 64)
- s = √100
- s = 10 meters
Therefore, the displacement of the particle in 2 seconds is 10 meters.
- Initial velocity along x-axis (ux) = 3 m/s
- Acceleration along y-axis (ay) = 4 m/s2
- Time (t) = 2 seconds
Displacement along x-axis:
- Using the formula, sx = uxt + (1/2)axt2
- sx = (3)(2) + (1/2)(0)(2)2
- sx = 6 meters
Displacement along y-axis:
- Using the formula, sy = uyt + (1/2)ayt2
- Initial velocity along y-axis (uy) = 0 m/s
- sy = (0)(2) + (1/2)(4)(2)2
- sy = 8 meters
Net displacement:
- The net displacement can be found using the Pythagorean theorem:
- s = √(sx2 + sy2)
- s = √(62 + 82)
- s = √(36 + 64)
- s = √100
- s = 10 meters
Therefore, the displacement of the particle in 2 seconds is 10 meters.
Community Answer
A particle is given velocity 3m/s along the positive x-axis subjected ...
Is it 10....
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A particle is given velocity 3m/s along the positive x-axis subjected to a constant acceleration 4m/s along the positively y-axis. find the displacement of the particle in 2 seconds?
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A particle is given velocity 3m/s along the positive x-axis subjected to a constant acceleration 4m/s along the positively y-axis. find the displacement of the particle in 2 seconds? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle is given velocity 3m/s along the positive x-axis subjected to a constant acceleration 4m/s along the positively y-axis. find the displacement of the particle in 2 seconds? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is given velocity 3m/s along the positive x-axis subjected to a constant acceleration 4m/s along the positively y-axis. find the displacement of the particle in 2 seconds?.
A particle is given velocity 3m/s along the positive x-axis subjected to a constant acceleration 4m/s along the positively y-axis. find the displacement of the particle in 2 seconds? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle is given velocity 3m/s along the positive x-axis subjected to a constant acceleration 4m/s along the positively y-axis. find the displacement of the particle in 2 seconds? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is given velocity 3m/s along the positive x-axis subjected to a constant acceleration 4m/s along the positively y-axis. find the displacement of the particle in 2 seconds?.
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