The potential energy of a projectile at its highest point is...

The potential energy of a projectile at its highest point is (1/2) th the value of its initial kinetic energy. Therefore its angle of projection is
(A) $30^{\circ}$
(B) $45^{\circ}$
(C) $60^{\circ}$
(D) $75^{\circ}$

Key Concepts

Energy Conservation

The principle of energy conservation states that, in a closed system, the total energy remains constant even though it may change forms. This principle is applied in projectile motion to relate the initial kinetic energy to the sum of kinetic and potential energy at later stages of the motion.

Potential Energy

Gravitational potential energy is the energy stored in an object due to its vertical position relative to a reference point. It is given by the formula mgh and increases as the object rises, converting from a portion of the initial kinetic energy.

Vector Decomposition

Vector decomposition involves breaking down a quantity, like the initial velocity, into its horizontal and vertical components using trigonometric functions. This concept is essential for analyzing projectile trajectories, as it helps determine the contributions of each component to the overall motion.

Projectile Motion

Projectile motion refers to the movement of an object that is launched into the air and subject only to the force of gravity. This concept involves analyzing the object's motion in two dimensions, with separate horizontal and vertical components that follow independent physical laws.

Kinetic Energy

Kinetic energy is the energy that an object possesses due to its motion. It is expressed by the formula ½mv² and plays a crucial role in analyzing the energy transformations that occur during the motion of a projectile.

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