You throw a baseball glove straight upward to celebrate a...

You throw a baseball glove straight upward to celebrate a victory. Its initial kinetic energy is $K E$, and it reaches a maximum height $h$. What is the kinetic energy of the glove when it is at the height $h / 2$ ?

Key Concepts

Conservation of Energy

This principle states that the total energy of an isolated system remains constant over time. In projectile motion, as the object travels upward, its initial kinetic energy is converted into gravitational potential energy, and at all points in its path, the sum of its kinetic and potential energies is equal to the initial energy, assuming no energy losses.

Kinetic Energy

Kinetic energy is the energy a body possesses due to its motion. In the context of an object thrown upward, its kinetic energy decreases as it rises because its speed reduces, and this decrease corresponds to an increase in gravitational potential energy.

Gravitational Potential Energy

Gravitational potential energy is the energy that an object has because of its position within a gravitational field. It is calculated using the equation mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height above a reference level. As an object ascends, its gravitational potential energy increases in tandem with the decrease in kinetic energy.

Energy Transformation in Projectile Motion

This concept addresses the conversion process between kinetic and potential energy when an object is in motion under the influence of gravity. At the moment of release, the object has maximum kinetic energy which gradually converts into potential energy as it rises until it reaches its peak, after which the process reverses during descent.

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