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Body driven by a constant power source from rest: how its displacement depends on time

The same question, asked 5 times: 2021 Paper 9, 2021 Paper 12, 2021 Paper 17*, 30 Jan 2023*, 5 Apr 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 9

    8
    A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time ' tt ' is proportional to:-

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  2. Question 2

    2021 Paper 12

    3
    A body is under the influence of a force such that it delivers a constant power P. The variation of position with time of body as

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  3. Question 3

    2021 Paper 17

    17
    An automobile of mass ' mm ' accelerates starting from origin and initially at rest, while the engine supplies constant power PP. The position is given as a function of time by:

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  4. Question 4

    30 Jan 2023

    117
    A body of mass 2 kg2\text{ }kg is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in 4 s is 13α2Pm\frac{1}{3}\alpha^{2}\sqrt{P}m. The value of α\alpha will be___
  5. Question 5

    5 Apr 2024

    103
    A body is moving unidirectionally under the influence of a constant power source. Its displacement in time tt is proportional to:

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