Velocity of a particle varies with time as v=4t. Calculate the displacement of particle between `t=2` to t=4 sec.

Explanation

To solve the problem of finding the displacement of a particle whose velocity varies with time as \( v = 4t \) between \( t = 2 \) seconds and \( t = 4 \) seconds, we can follow these steps:

### Step 1: Understand the relationship between velocity and displacement
The velocity of a particle is defined as the rate of change of displacement with respect to time. Mathematically, this can be expressed as:
\[ v = \frac{ds}{dt} \]
where \( s \) is the displacement.
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