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Distance in the nth second or in successive equal intervals under uniform acceleration

This type of question, asked 5 times: 29 Jun 2022, 30 Jan 2024, 4 Apr 2024, 5 Apr 2024, 8 Apr 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    29 Jun 2022

    91
    A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10 m10\text{ }m in tsts,. the distance travelled by the toy in the next tsts will be:

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  2. Question 2

    30 Jan 2024

    26
    The displacement and the increase in the velocity of a moving particle in the time interval of tt to (t+1)s(t + 1)s are 125 m125\text{ }m and 50 m/s50\text{ }m/s, respectively. The distance travelled by the particle in (t+2)ths(t + 2)^{th}s is ____ mm.

  3. Question 3

    4 Apr 2024

    14
    A body travels 102.5 m102.5\text{ }m in nth n^{\text{th~}} second and 115.0 m115.0\text{ }m in (n+2)th (n + 2)^{\text{th~}} second. The acceleration is :

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  4. Question 4

    5 Apr 2024

    26
    A body moves on a frictionless plane starting from rest. If SnS_{n} is distance moved between t=n−1t = n - 1 and tt =n= n and Sn−1S_{n - 1} is distance moved between t=n−2t = n - 2 and t=n−1t = n - 1, then the ratio Sn−1Sn\frac{S_{n - 1}}{S_{n}} is (1−2x)\left( 1 -\frac{2}{x} \right) for nn =10= 10. The value of xx is ______

  5. Question 5

    8 Apr 2026 S2

    25
    Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s5\text{ }m/s and 12 m/s12\text{ }m/s, respectively. The distances traversed by the masses in the 5th 5^{\text{th~}} second are 104 m and 129 m , respectively. The ratio of their momenta after 10 s is x8\frac{x}{8}. The value of xx is ____\_\_\_\_ .