Let initial velocity of body at point A is v, AB is 3 cm.
From
$\nu^{2}=u^{2}-2 a s$$\left(\frac{v}{2}\right)^{2} =v^{2} \cdot 2 a \times 3$$a =\frac{v^{2}}{8}$
Let on penetrating $3 cm$ 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{v^{2}}{8}$ (deceleration)
$\therefore (0)^{2} =\left(\frac{v}{2}\right)^{2}-2 \cdot \frac{v^{2}}{8} \cdot x$$x =1$ cm
: Here, it is assumed that retardation is uniform.
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.
