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The a-t graph of the particle is correctly shown by
- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The a-t graph of the particle is correctly shown bya)b)c)d)Correct ans...
The acceleration of the particle moving in straight line is given as, a=d2x/dt2
Geometrically it is the concavity of the x−t graph. If the graph is concave upward then the double derivative is positive. If the graph is concave downwards then the double derivative is negative.Consider the provided x−t graph,
Since the x−t graph is a parabola which of second degree the a−t graph must be a constant line which is of zero degree. Since the parabola is concave downwards the acceleration must be negative.
The only graph which satisfies the above conditions is graph D.
Hence, option D is correct.
Geometrically it is the concavity of the x−t graph. If the graph is concave upward then the double derivative is positive. If the graph is concave downwards then the double derivative is negative.Consider the provided x−t graph,
Since the x−t graph is a parabola which of second degree the a−t graph must be a constant line which is of zero degree. Since the parabola is concave downwards the acceleration must be negative.
The only graph which satisfies the above conditions is graph D.
Hence, option D is correct.
Most Upvoted Answer
The a-t graph of the particle is correctly shown bya)b)c)d)Correct ans...
The acceleration of the particle moving in straight line is given as, a=d2x/dt2
Geometrically it is the concavity of the x−t graph. If the graph is concave upward then the double derivative is positive. If the graph is concave downwards then the double derivative is negative.Consider the provided x−t graph,
Since the x−t graph is a parabola which of second degree the a−t graph must be a constant line which is of zero degree. Since the parabola is concave downwards the acceleration must be negative.
The only graph which satisfies the above conditions is graph D.
Hence, option D is correct.
Geometrically it is the concavity of the x−t graph. If the graph is concave upward then the double derivative is positive. If the graph is concave downwards then the double derivative is negative.Consider the provided x−t graph,
Since the x−t graph is a parabola which of second degree the a−t graph must be a constant line which is of zero degree. Since the parabola is concave downwards the acceleration must be negative.
The only graph which satisfies the above conditions is graph D.
Hence, option D is correct.
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The a-t graph of the particle is correctly shown bya)b)c)d)Correct ans...
I think correct option is A . d is not correct answer because in this question we asked AT graph not VT graph.
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The a-t graph of the particle is correctly shown bya)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The a-t graph of the particle is correctly shown bya)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The a-t graph of the particle is correctly shown bya)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
The a-t graph of the particle is correctly shown bya)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The a-t graph of the particle is correctly shown bya)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The a-t graph of the particle is correctly shown bya)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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