If a charge flowing through a cross section of wire can be written as `q=5t^2+8tC`, then calculate the electric current at t=0 and t=2s. Calculate the amount of charge that must have flown in the interval of 2 seconds starting from t=0 and also calculate the average electric current for this interval.

Explanation

To solve the problem step by step, we will follow these instructions:

### Step 1: Find the expression for electric current
The electric current \( I \) is defined as the rate of change of charge \( Q \) with respect to time \( t \). Mathematically, this is expressed as:
\[ I = \frac{dQ}{dt} \]
Given the charge flowing through a cross-section of the wire is given by:
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