A body is projected horizontally from a height h above...

A body is projected horizontally from a height h above ground with an initial velocity of $10 \mathrm{~m} \mathrm{~s}^{-1}$. If the body hits the ground with a velocity of $20 \mathrm{~m} \mathrm{~s}^{-1}$ then the value of $\mathrm{h}$ is $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$ (a) $10 \mathrm{~m}$ (b) $15 \mathrm{~m}$ (c) $30 \mathrm{~m}$ (d) $40 \mathrm{~m}$

A body is projected horizontally from a height h above ground with an initial velocity of $10 \mathrm{~m} \mathrm{~s}^{-1}$. If the body hits the ground with a velocity of $20 \mathrm{~m} \mathrm{~s}^{-1}$ then the value of $\mathrm{h}$ is $\left(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$
(a) $10 \mathrm{~m}$
(b) $15 \mathrm{~m}$
(c) $30 \mathrm{~m}$
(d) $40 \mathrm{~m}$

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Key Concepts

Kinematic Equations

Kinematic equations relate the parameters of motion—such as displacement, initial velocity, final velocity, acceleration, and time—for objects moving under constant acceleration. They are used to analyze both the vertical free-fall motion and horizontal motion in projectile problems.

Vertical Free Fall

Vertical free fall is a specific case of motion where an object is subject solely to gravitational acceleration. The kinematic equations for vertical free fall allow one to determine the velocity or distance fallen over time, which is crucial in projectile problems with a vertical displacement component.

Projectile Motion

Projectile motion refers to the motion of an object that is launched into the air and influenced only by gravity (ignoring air resistance). It involves analyzing the object's trajectory, typically by decomposing its motion into horizontal and vertical components.

Decomposition of Motion

Decomposing motion means breaking down a projectile's motion into independent horizontal and vertical components. This is essential because the horizontal component maintains constant velocity while the vertical component is subject to uniform acceleration due to gravity.

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