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The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the following
- a)The acceleration of the particle is zero at t = 0 second
- b)The velocity of the particle is zero at t = 0 second
- c)The velocity of the particle is zero at t = 1 second
- d)The velocity and acceleration of the particle are never zero
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The position of a particle moving in the xy-plane at any time t is giv...
Just differentiating x with respect to time will give velocity. and differentiating v with respect to time gives acceleration.
so Vx=6t-6 and Vy = 2t-2 at time=0 Vx=-6 and Vy=-2 resultant of Vx and Vy is not 0. and also acceleration ax=6 and ay=2. acceleration is not dependent on time,it will remain constant and is not zero.
at time t=1s,putting in Vx and Vy comes 0.
so correct answer is (c)
so Vx=6t-6 and Vy = 2t-2 at time=0 Vx=-6 and Vy=-2 resultant of Vx and Vy is not 0. and also acceleration ax=6 and ay=2. acceleration is not dependent on time,it will remain constant and is not zero.
at time t=1s,putting in Vx and Vy comes 0.
so correct answer is (c)
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The position of a particle moving in the xy-plane at any time t is giv...
Explanation:
Velocity of the Particle:
- To find the velocity of the particle, we need to differentiate the position equations with respect to time.
- The velocity components are given by dx/dt = 6t - 6 and dy/dt = 2t - 2.
- To find when the velocity is zero, we set both components equal to zero and solve for t.
- For dx/dt = 0, 6t - 6 = 0, t = 1 second.
- Therefore, the velocity of the particle is zero at t = 1 second.
Acceleration of the Particle:
- The acceleration components are given by d(dx/dt)/dt = 6 and d(dy/dt)/dt = 2.
- The acceleration is constant and not dependent on time, so it is never zero.
- Therefore, the acceleration of the particle is not zero at t = 0 second.
Conclusion:
- The correct statement is that the velocity of the particle is zero at t = 1 second, option 'C'.
Velocity of the Particle:
- To find the velocity of the particle, we need to differentiate the position equations with respect to time.
- The velocity components are given by dx/dt = 6t - 6 and dy/dt = 2t - 2.
- To find when the velocity is zero, we set both components equal to zero and solve for t.
- For dx/dt = 0, 6t - 6 = 0, t = 1 second.
- Therefore, the velocity of the particle is zero at t = 1 second.
Acceleration of the Particle:
- The acceleration components are given by d(dx/dt)/dt = 6 and d(dy/dt)/dt = 2.
- The acceleration is constant and not dependent on time, so it is never zero.
- Therefore, the acceleration of the particle is not zero at t = 0 second.
Conclusion:
- The correct statement is that the velocity of the particle is zero at t = 1 second, option 'C'.
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The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer?
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The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer?.
The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer?.
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The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The position of a particle moving in the xy-plane at any time t is given by x = (3t2-6t) metres, y = (t2-2t) metres. Select the correct statement about the moving particle from the followinga)The acceleration of the particle is zero at t = 0 secondb)The velocity of the particle is zero at t = 0 secondc)The velocity of the particle is zero at t = 1 secondd)The velocity and acceleration of the particle are never zeroCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
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