NEET Exam > NEET Questions > A particle moves in a straight line and its p...
Start Learning for Free
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...
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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 detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup