A bullet hitting a wooden block loses half its velocity when...

A bullet hitting a wooden block loses half its velocity when it penetrates $60 \mathrm{~cm}$. If the retardation is uniform, it will come to rest after penetrating a further distance of
(a) $10 \mathrm{~cm}$
(b) $20 \mathrm{~cm}$
(c) $30 \mathrm{~cm}$
(d) $40 \mathrm{~cm}$

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Key Concepts

Uniform Accelerated Motion

This concept deals with motion in which the acceleration (or deceleration) remains constant over time. When an object undergoes uniformly accelerated motion, its change in velocity per unit time is the same throughout the motion, allowing for the use of specific kinematic equations to describe its behavior. This is essential for solving problems involving displacement, time, velocity, and acceleration in a predictable manner.

Kinematic Equations

These are a set of equations that relate the initial velocity, final velocity, acceleration, time, and displacement of an object moving with constant acceleration. In problems like this, the equation v^2 = u^2 + 2as is particularly useful, as it allows one to determine the additional distance required for an object to come to rest given its initial speed and deceleration rate. Understanding this equation is key to analyzing and solving uniformly accelerated motion scenarios.

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