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A particle moves rectilinearly. its displacement x at time t is given by x2 = t2 + 1. Its acceleration at time t is proportional to
- a)1/x3
- b)1/x - 1/x2
- c)- t/x2
- d)1/x - t2/x3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A particle moves rectilinearly. its displacement x at time t is given ...
Given: x2 = at2 + b
Differentiating w.r.t t on both sides, we get
Again differentiating w.r.t on both sides, we get
Differentiating w.r.t t on both sides, we get
Again differentiating w.r.t on both sides, we get
Most Upvoted Answer
A particle moves rectilinearly. its displacement x at time t is given ...
Given:
Displacement x at time t is given by x^2 = t^2 + 1
To find:
The acceleration at time t that is proportional to?
Solution:
Let's differentiate the given displacement equation twice to get the acceleration.
Differentiating x^2 = t^2 + 1 with respect to t, we get
2x(dx/dt) = 2t
=> dx/dt = t/x
Differentiating again with respect to t, we get
d^2x/dt^2 = d/dt(t/x) = (dx/dt)/x
= (t/x^2)
Therefore, the acceleration at time t is given by
a = (t/x^2)
We can see that option A is the correct answer as it is proportional to 1/x^3.
Displacement x at time t is given by x^2 = t^2 + 1
To find:
The acceleration at time t that is proportional to?
Solution:
Let's differentiate the given displacement equation twice to get the acceleration.
Differentiating x^2 = t^2 + 1 with respect to t, we get
2x(dx/dt) = 2t
=> dx/dt = t/x
Differentiating again with respect to t, we get
d^2x/dt^2 = d/dt(t/x) = (dx/dt)/x
= (t/x^2)
Therefore, the acceleration at time t is given by
a = (t/x^2)
We can see that option A is the correct answer as it is proportional to 1/x^3.
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A particle moves rectilinearly. its displacement x at time t is given by x2= t2+ 1. Its acceleration at time t is proportional toa)1/x3b)1/x - 1/x2c)- t/x2d)1/x - t2/x3Correct answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle moves rectilinearly. its displacement x at time t is given by x2= t2+ 1. Its acceleration at time t is proportional toa)1/x3b)1/x - 1/x2c)- t/x2d)1/x - t2/x3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves rectilinearly. its displacement x at time t is given by x2= t2+ 1. Its acceleration at time t is proportional toa)1/x3b)1/x - 1/x2c)- t/x2d)1/x - t2/x3Correct answer is option 'A'. Can you explain this answer?.
A particle moves rectilinearly. its displacement x at time t is given by x2= t2+ 1. Its acceleration at time t is proportional toa)1/x3b)1/x - 1/x2c)- t/x2d)1/x - t2/x3Correct answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle moves rectilinearly. its displacement x at time t is given by x2= t2+ 1. Its acceleration at time t is proportional toa)1/x3b)1/x - 1/x2c)- t/x2d)1/x - t2/x3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves rectilinearly. its displacement x at time t is given by x2= t2+ 1. Its acceleration at time t is proportional toa)1/x3b)1/x - 1/x2c)- t/x2d)1/x - t2/x3Correct answer is option 'A'. Can you explain this answer?.
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