A body dropped from a tower travels half of the total...

A body dropped from a tower travels half of the total distance in the last second of its motion. The total time of fall will be $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$ (a) $\sqrt{2} \mathrm{~s}$ (b) $2 \mathrm{~s}$ (c) $2+\sqrt{2} \mathrm{~s}$ (d) $2 \sqrt{2} \mathrm{~s}$

A body dropped from a tower travels half of the total distance in the last second of its motion. The total time of fall will be $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$
(a) $\sqrt{2} \mathrm{~s}$
(b) $2 \mathrm{~s}$
(c) $2+\sqrt{2} \mathrm{~s}$
(d) $2 \sqrt{2} \mathrm{~s}$

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Key Concepts

Displacement in a Specific Time Interval

This concept involves calculating the distance covered during a particular interval by finding the difference between the positions at the end and the beginning of the interval. In problems where the distance traveled in the last second is compared to the total distance traveled, this approach allows us to set up equations that help determine unknown quantities like the total time of fall.

Free Fall Motion

This concept refers to the motion of an object under the influence of gravity alone, with no other forces (like air resistance) affecting its motion. In free fall, the acceleration of the object is constant and equal to the acceleration due to gravity, making the motion predictable using the principles of kinematics.

Kinematic Equations for Uniform Acceleration

These equations describe the relationships between displacement, velocity, acceleration, and time for an object moving under constant acceleration. They are essential for analyzing free-fall motion, as they allow us to determine the distance an object travels during its motion using formulas like s = ut + (1/2)at², where u is the initial velocity, a is the acceleration, and t is the time.

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