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  • Calculate Car's Acceleration: Kinematic Equation Solution
    Here's how to solve this problem:

    Understanding the Concepts

    * Uniform Acceleration: This means the car's speed increases at a constant rate.

    * Distance, Acceleration, and Time: We can use the following kinematic equation to relate these quantities:

    * d = v₀t + (1/2)at²

    * d = distance

    * v₀ = initial velocity (0 m/s in this case since the car starts at rest)

    * t = time

    * a = acceleration

    Solving the Problem

    1. Set up the equation:

    * 120 m = (0 m/s)(6.32 s) + (1/2)a(6.32 s)²

    2. Simplify:

    * 120 m = (1/2)a(39.9424 s²)

    3. Solve for acceleration (a):

    * a = (120 m * 2) / 39.9424 s²

    * a ≈ 6.01 m/s²

    Answer: The approximate acceleration of the car is 6.01 m/s².

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