NEET Exam > NEET Questions > The displacement of a body is given to be pro...
Start Learning for Free
The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is
- a)increasing with time
- b)decreasing with time
- c)constant but not zero
- d)zero
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The displacement of a body is given to be proportional to the cube of ...
As x ∝ t3
velocity, v ∝ 3t2
Acceleration, a ∝ 6t
Most Upvoted Answer
The displacement of a body is given to be proportional to the cube of ...
**Answer:**
The displacement of a body is given to be proportional to the cube of time elapsed. Mathematically, we can represent this relationship as:
d ∝ t^3
where d is the displacement and t is the time elapsed.
To find the magnitude of acceleration, we need to differentiate the displacement equation with respect to time:
a = d^2/dt^2
Since the displacement is proportional to t^3, we can rewrite it as:
d = kt^3
where k is a constant of proportionality.
Differentiating both sides of the equation with respect to time, we get:
a = 3kt^2
This equation shows that the magnitude of acceleration is directly proportional to t^2. As time increases, the magnitude of acceleration also increases.
Therefore, the correct answer is option 'A': the magnitude of acceleration is increasing with time.
The displacement of a body is given to be proportional to the cube of time elapsed. Mathematically, we can represent this relationship as:
d ∝ t^3
where d is the displacement and t is the time elapsed.
To find the magnitude of acceleration, we need to differentiate the displacement equation with respect to time:
a = d^2/dt^2
Since the displacement is proportional to t^3, we can rewrite it as:
d = kt^3
where k is a constant of proportionality.
Differentiating both sides of the equation with respect to time, we get:
a = 3kt^2
This equation shows that the magnitude of acceleration is directly proportional to t^2. As time increases, the magnitude of acceleration also increases.
Therefore, the correct answer is option 'A': the magnitude of acceleration is increasing with time.
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
The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. Can you explain this answer?
Question Description
The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. 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 displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. 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 displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. Can you explain this answer?.
The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. 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 displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. 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 displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. Can you explain this answer? 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 The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body isa)increasing with timeb)decreasing with timec)constant but not zerod)zeroCorrect answer is option 'A'. Can you explain this answer? 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