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  • Calculating Initial Velocity of a Projectile: Physics Problem & Solution
    Here's how to solve this problem using physics:

    Understanding the Concepts

    * Free Fall: The stone is moving under the influence of gravity alone.

    * Acceleration due to Gravity (g): This is a constant value of approximately 9.8 m/s² downward.

    * Kinematic Equations: We can use these equations to relate displacement, velocity, acceleration, and time.

    The Solution

    1. Identify the knowns:

    * Final velocity (v) = 0 m/s (at the highest point, the stone momentarily stops)

    * Displacement (Δy) = 20 m

    * Acceleration (a) = -9.8 m/s² (negative since gravity acts downward)

    2. Choose the appropriate kinematic equation: We'll use the following equation:

    v² = u² + 2aΔy

    Where:

    * u = initial velocity (what we want to find)

    * v = final velocity

    * a = acceleration

    * Δy = displacement

    3. Plug in the values and solve for 'u':

    0² = u² + 2(-9.8 m/s²)(20 m)

    0 = u² - 392

    u² = 392

    u = √392 ≈ 19.8 m/s

    Answer: The stone was thrown upward with a speed of approximately 19.8 m/s.

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