A bullet travelling with a velocity of 16 m/s penetrates a tree trunk and comes to rest in 0.4m. find time ( in seconds)taken during the retardation

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0.02

0.05

0.04

0.06

answer is C.

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Detailed Solution

$\begin{array}{l} given initial velocity = u = 16 m / s; f i n a l v e l o c i t y = v = 0; d i s p l a c e m e n t = s = 0.4 m \\ acceleration = a = \frac{v^{2} - u^{2}}{2 s} = \frac{0^{2} - 16^{2}}{2 \times 0.4} = - 320 m / s^{2} \\ Time t = \frac{v - u}{a} = \frac{0 - 16}{- 320} = 0.05 \sec \end{array}$

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