A bullet fired into a fixed wooden block loses half of its velocity after penetrating $40\,cm$. It comes to rest after penetrating a further distance of
Let initial velocity of body at point A is v, AB is 40cm.
From $ {{v}^{2}}={{u}^{2}}-2as $ $ \Rightarrow $$ {{\left( \frac{v}{2} \right)}^{2}}={{v}^{2}}-2a\times 40 $ Or $ a=\frac{3{{v}^{2}}}{320} $ Let on penetrating 40 cm in a wooden block, the body moves x distance from B to C. So, for B to C $ u=\frac{v}{2},v=0 $ $ s=x,a=\frac{3{{v}^{2}}}{320} $ (deceleration) $ \therefore $$ {{(0)}^{2}}={{\left( \frac{v}{2} \right)}^{2}}-2\times \frac{3{{v}^{2}}}{320}\times x $ Or $ x=\frac{40}{3}cm $
The motion in a straight lineis an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.
