Q: Find the impulse due to the force $\vec{F} = a \hat{i} + b t \hat{j}$ , where a=2 N and b = 4 N s^{-1} if this force acts from t = 0 to t = 0.3 s

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Sol: Impulse , $\large \vec{J} = \int_{0}^{0.3} F dt $

$\large = \int_{0}^{0.3} (a \hat{i} + b t \hat{j}) dt $

$\large = [a t + \frac{b t^2}{2 }]_{0}^{0.3}$

$\large = 0.6 \hat{i} + 0.18 \hat{j}$