A-bullet-with-a-velocity-of-30-ms-1-after-pentrating-a-6-cm-whole-tree-the-velocity-is-reduced-by-one-third-and-then-the-bullet-travels-for-1s-more-Will-the-bullet-penetratee-th-tree-Analyz

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Question Number 192257 by Tomal last updated on 13/May/23

$$$$$$\mathrm{A}\mathrm{bullet}\mathrm{with}\mathrm{a}\mathrm{velocity}\mathrm{of}30{\mathrm{ms}}^{-1}\mathrm{after}$$$$\mathrm{pentrating}\mathrm{a}6cm\mathrm{whole}\mathrm{tree}\mathrm{the}\mathrm{velocity}\mathrm{is}$$$$\mathrm{reduced}\mathrm{by}\mathrm{one}-\mathrm{third}\mathrm{and}\mathrm{then}\mathrm{the}\mathrm{bullet}$$$$\mathrm{travel}s\mathrm{for}1\mathrm{s}\mathrm{more}.$$$$$$$$$$$$Will\mathrm{the}\mathrm{bullet}\mathrm{penetratee}$$$$\mathrm{th}\mathrm{tree}?\mathrm{Analyze}\mathrm{mathematically}.$$

Commented by AST last updated on 13/May/23

$$Maybeitshouldbe“\dots afterhittinga6cm{\dots }^{″}$$

Commented by Tinku Tara last updated on 13/May/23

$$\mathrm{question}\mathrm{is}\mathrm{not}\mathrm{clear}.\mathrm{probably}\mathrm{issue}$$$$\mathrm{with}\mathrm{translation}$$

Commented by AST last updated on 16/Oct/23

$$Thevelocityofthebulletreducesto20{ms}^{-1}$$$$afterhitting.Thisimpliesittravelsadistance$$$$of20mafter1s(assumingthespeedwas$$$$constant)..Supposethebulletstoppedafter1s$$$$v=u+at\Rightarrow 0=20+a\Rightarrow a=-20{ms}^{-2}$$$$s=ut+\frac{{at}^2}{2}=20-10=10m.$$$$Since20m>10m>6cm,thebulletpenetrates$$$$thetreeinbothcases.$$

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