Question

A bullet loses half its velocity after penetrating 2 inches into a wall. How far will the bullet go inside the wall?​

Answer 1

Answer⤵️

• [converting into cm]

$\huge \text{case: 1}$

$\rm (\frac{ {u}}{2})^{2} - {u}^{2} = 2.a.3 \\ \rm{or - \frac{ {3u}^{2} }{4} = 2.a.3⇒a = \frac{ {u}^{2} }{8} }$

$\huge \text{case: 2}$

$\rm{0 =(\frac{u} {2})^{2} = 2.a.x \: or \: \frac{ {u}^{2} }{4} = 2 (\frac{ {u}^{2} }{8} ) \times \: x} \\ \rm{⇒x=1cm}</p><p>$

hope this helps!