A particle with a mass of \( 1 \mathrm{~kg} \) is having a velocity of \( 10 \mathrm{~m} / \math...

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A particle with a mass of \( 1 \mathrm{~kg} \) is having a velocity of \( 10 \mathrm{~m} / \mathrm{s} \) in + ve \( x \)-direction at \( t=0 \). Forces \( \vec{F}_{1} \) and \( \vec{F}_{2} \) act on the particle whose magnitudes are changing with time according to the variation shown in figure. The magnitude of the velocity of the particle at \( t=3 \mathrm{~s} \) (neglect gravity effect) is found to be \( n \sqrt{5} \mathrm{~m} / \mathrm{s} \). Find the value of \( n \)
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