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Motion in A Straight Line question

2021 · 24 Feb · Shift 1 · Q57
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Motion in A Straight Line question

2021 · 24 Feb · Shift 1 · Q57

JEE MainPhysicsMotion in A Straight LineMCQ+4 / −1
If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph? JEE Main 2021 (Online) 24th February Morning Shift Physics - Motion in a Straight Line Question 79 English
  1. A
    JEE Main 2021 (Online) 24th February Morning Shift Physics - Motion in a Straight Line Question 79 English Option 1
  2. B
    JEE Main 2021 (Online) 24th February Morning Shift Physics - Motion in a Straight Line Question 79 English Option 2
  3. C
    JEE Main 2021 (Online) 24th February Morning Shift Physics - Motion in a Straight Line Question 79 English Option 3
  4. D
    JEE Main 2021 (Online) 24th February Morning Shift Physics - Motion in a Straight Line Question 79 English Option 4
View written solutionFree

Correct answer: C

  1. The acceleration-time graph is obtained from the slope of the velocity-time graph.

  2. In a velocity-time graph of shape AMB, the graph consists of two straight-line segments:

    • From AAA to MMM: velocity increases linearly with time, so the slope is positive constant.
    • From MMM to BBB: velocity decreases linearly with time, so the slope is negative constant.
  3. Therefore, the acceleration-time graph must have:

    • a horizontal line above the time axis first (constant positive acceleration),
    • then a horizontal line below the time axis (constant negative acceleration).
  4. Among the given options, this corresponds to Option C.

Hence, the correct answer is: C\boxed{C}C​

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