A gun applied a force \( F \) on a bullet which is given by \( F=\left(100-0.5 \times 10^{5} t\r...

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A gun applied a force \( F \) on a bullet which is given by \( F=\left(100-0.5 \times 10^{5} t\right) \) N. The bullet emerges out with speed \( 400 \mathrm{~m} / \mathrm{s} \), then find out the impulse exerted till force on the bullet becomes zero.
(a) \( 0.2 \mathrm{~N}-\mathrm{s} \)
(b) \( 0.3 \mathrm{~N}-\mathrm{s} \)
(c) \( 0.1 \mathrm{~N}-\mathrm{s} \)
(d) \( 0.4 \mathrm{~N}-\mathrm{s} \)
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