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The displacement of a particle is given ...

The displacement of a particle is given by `y=(6t^2+3t+4)m`, where t is in seconds. Calculate the instantaneous speed of the particle.

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To find the instantaneous speed of the particle whose displacement is given by the equation \( y = 6t^2 + 3t + 4 \) meters, we need to follow these steps: ### Step 1: Understand the relationship The instantaneous speed of a particle is defined as the derivative of its displacement with respect to time. Mathematically, this is expressed as: \[ v = \frac{dy}{dt} \] where \( v \) is the instantaneous speed and \( y \) is the displacement. ...
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Knowledge Check

  • The displacement of a particle is moving by x = (t - 2)^2 where x is in metres and t in second. The distance covered by the particle in first 4 seconds is.

    A
    a. 4 m
    B
    b. 8 m
    C
    c. 12 m
    D
    d. 16 m

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