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.

Explanation

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.
...