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Speed of a particle whose x and y coordinates are constants times a power of t

The same question, asked 2 times: 16 May 2023 S1*, 22 Apr 2025 S2. Every wording below, oldest first.

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  1. Question 1

    16 May 2023 S1

    28
    The co-ordinates of a moving particle at any time 't' are given by x=αt3x = \alpha t^3 and y=βt3y = \beta t^3 where α\alpha and β\beta are constants. The speed of the particle at time 't' is given by

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  2. Question 2

    22 Apr 2025 S2

    9
    At any time ' tt ', the co-ordinates of moving particle are x=at2x = at^{2} and y=bt2y = bt^{2}. The speed of the particle is

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