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  • Kinetic & Potential Energy of a Projectile: Maximum at Start & Top
    Here's the breakdown of kinetic and potential energy for a ball thrown straight up:

    Kinetic Energy

    * Maximum at the start: When the ball is first thrown upwards, it has its maximum velocity. Since kinetic energy is directly proportional to the square of velocity (KE = 1/2 * mv²), kinetic energy is at its highest at the beginning.

    * Minimum at the top: As the ball rises, it slows down due to gravity. At the very top of its trajectory, the ball momentarily stops before falling back down. At this point, its velocity is zero, and therefore its kinetic energy is zero.

    Gravitational Potential Energy

    * Minimum at the start: When the ball is first thrown, it's at its lowest point. Gravitational potential energy is determined by height (PE = mgh, where 'h' is the height), so it's lowest at the beginning.

    * Maximum at the top: As the ball rises, it gains height. The higher the ball goes, the more gravitational potential energy it has. At the very top of its trajectory, it's at its highest point, and therefore has its maximum gravitational potential energy.

    Summary:

    * Kinetic energy: Maximum at the beginning, minimum at the top.

    * Gravitational potential energy: Minimum at the beginning, maximum at the top.

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