A force `F=(2thati+3t^(2)hatj)`N acts on an object moving in XY-plane. Find the magnitude of change in momentum of the object in the time interval t=0 to t=2s.

Explanation

To find the magnitude of the change in momentum of the object under the influence of the given force \( F = (2t \hat{i} + 3t^2 \hat{j}) \) N over the time interval from \( t = 0 \) to \( t = 2 \) seconds, we can follow these steps:

### Step 1: Understand the relationship between force and momentum
According to Newton's second law, the force acting on an object is equal to the rate of change of momentum. Mathematically, this can be expressed as:
\[ F = \frac{dp}{dt} \]
where \( p \) is the momentum.
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