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A particle moves in a straight line and its position(x) at time t is given by x^2=2t+1. Its velocity is given by?
(a) 2/x
(b)-2/x^2
(c)1/x
(d)-1/x?
(a) 2/x
(b)-2/x^2
(c)1/x
(d)-1/x?
Most Upvoted Answer
A particle moves in a straight line and its position(x) at time t is g...
Solution:
Given, x^2=2t
Differentiating both sides with respect to time(t),
2x(dx/dt)=2
dx/dt=1/x
Therefore, the velocity of the particle is given by option (d) -1/x.
Explanation:
- Differentiating the position of the particle with respect to time gives us its velocity.
- In this case, we differentiate x^2=2t with respect to time using the chain rule of differentiation.
- This gives us 2x(dx/dt)=2.
- Solving for dx/dt, we get dx/dt=1/x, which is the velocity of the particle.
- Therefore, the correct option for the velocity of the particle is (d) -1/x.
Given, x^2=2t
Differentiating both sides with respect to time(t),
2x(dx/dt)=2
dx/dt=1/x
Therefore, the velocity of the particle is given by option (d) -1/x.
Explanation:
- Differentiating the position of the particle with respect to time gives us its velocity.
- In this case, we differentiate x^2=2t with respect to time using the chain rule of differentiation.
- This gives us 2x(dx/dt)=2.
- Solving for dx/dt, we get dx/dt=1/x, which is the velocity of the particle.
- Therefore, the correct option for the velocity of the particle is (d) -1/x.
Community Answer
A particle moves in a straight line and its position(x) at time t is g...
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A particle moves in a straight line and its position(x) at time t is given by x^2=2t+1. Its velocity is given by?(a) 2/x(b)-2/x^2(c)1/x(d)-1/x?
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A particle moves in a straight line and its position(x) at time t is given by x^2=2t+1. Its velocity is given by?(a) 2/x(b)-2/x^2(c)1/x(d)-1/x? 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 moves in a straight line and its position(x) at time t is given by x^2=2t+1. Its velocity is given by?(a) 2/x(b)-2/x^2(c)1/x(d)-1/x? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves in a straight line and its position(x) at time t is given by x^2=2t+1. Its velocity is given by?(a) 2/x(b)-2/x^2(c)1/x(d)-1/x?.
A particle moves in a straight line and its position(x) at time t is given by x^2=2t+1. Its velocity is given by?(a) 2/x(b)-2/x^2(c)1/x(d)-1/x? 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 moves in a straight line and its position(x) at time t is given by x^2=2t+1. Its velocity is given by?(a) 2/x(b)-2/x^2(c)1/x(d)-1/x? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves in a straight line and its position(x) at time t is given by x^2=2t+1. Its velocity is given by?(a) 2/x(b)-2/x^2(c)1/x(d)-1/x?.
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