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  • Calculating Time to Reach Zero Velocity of a Projectile - Physics Problem
    Here's how to solve this problem:

    Understanding the Physics

    * Gravity: The ball slows down as it travels upwards because of gravity's downward pull.

    * Acceleration due to Gravity: The acceleration due to gravity (g) is approximately 9.8 m/s². This means the ball's upward velocity decreases by 9.8 meters per second every second.

    Calculations

    1. Initial Velocity: v₀ = 20 m/s

    2. Final Velocity: v = 0 m/s (when the ball momentarily stops at its highest point)

    3. Acceleration: a = -9.8 m/s² (negative because gravity acts downwards)

    We can use the following kinematic equation:

    v = v₀ + at

    Where:

    * v = final velocity

    * v₀ = initial velocity

    * a = acceleration

    * t = time

    Solving for Time (t):

    0 = 20 + (-9.8)t

    9.8t = 20

    t = 20 / 9.8

    t ≈ 2.04 seconds

    Therefore, it will take approximately 2.04 seconds for the ball to reach zero speed.

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