Question

A bullet fired into a block looses half of its velocity after penetrating through a distance of 0.6m. Before coming to rest, the total distance traveled would be:

• A. 0.8 m
• B. 1.2 m
• C. 1.6 m
• D. 0.2 m

Answer 1

The correct option is A 0.8 m

$v_i=v{v}_f=\frac{v}{2}s=0.6m{v_f}^2=v_i-2as\frac{v^2}{4}=v^2-2a\times 0.61.2a=\frac{{3v}^2}{4}a=\frac{{3v}^2\times 10}{4\times 12}=\frac{5}{8}{v}^2$

$\therefore \frac{A}{a},v_f=0\therefore 0=v^2-2ass=\frac{v^2}{2a}=\frac{v^2\times 8}{2\times 5v^2}=\frac{4}{5}=0.8$