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Velocity at an instant from position given as a polynomial in time

This type of question, asked 3 times: 25 Jan 2023, 13 Apr 2023, 15 Apr 2023. All 3 questions below, oldest first.

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  1. Question 1

    25 Jan 2023

    95
    The distance travelled by a particle is related to time tt as x=4t2x = 4t^{2}. The velocity of the particle at t=5 st = 5\text{ }s is: -

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  2. Question 2

    13 Apr 2023

    100
    The distance travelled by an object in time tt is given by s=2.5 t2s = 2.5\,t^{2}. The instantaneous speed of the object at t=5 st = 5\text{ }s will be:

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  3. Question 3

    15 Apr 2023

    13
    The position of a particle related to time is given by x=(5t2−4t+5)mx =\left( 5t^{2}- 4t + 5 \right)m. The magnitude of velocity of the particle at t=2 st = 2\text{ }s will be:

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