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In a shooting alley where people come to shoot bullets at targets, it is decided to replace the existing paper sheet targets with wooden sheets so as to catch the bullets. A bullet is observed to lose 5% of its initial velocity when it passes through the wooden sheet. How many such sheets would be needed to completely absorb the incoming bullet?

In a shooting alley where people come to shoot bullets at targets, it is decided to replace the existing paper sheet targets with wooden sheets so as to catch the bullets. A bullet is observed to lose 5% of its initial velocity when it passes through the wooden sheet. How many such sheets would be needed to completely absorb the incoming bullet?

Grade:12

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
9 years ago
Hello Student,
\\ \\$after each sheet the velocity will remain$ \\v(i+1)=0.95v(i) \\v(i)=0.95^iv \\$mathmatically it will always have some velocity$ \\$so depends when you consider the velocity to be negligible$ \\0.95^{30}=0.21 \\
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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