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  • Calculating Vehicle Deceleration: From 100 km/h to 0 in 30 Seconds
    Here's how to calculate the acceleration:

    1. Convert Units:

    * Velocity: 100 km/h needs to be converted to meters per second (m/s).

    * 1 km = 1000 m

    * 1 hour = 3600 seconds

    * 100 km/h * (1000 m/km) * (1 h/3600 s) ≈ 27.78 m/s

    2. Determine the Change in Velocity:

    * The vehicle starts at 27.78 m/s and comes to a dead stop (0 m/s).

    * Change in velocity (Δv) = 0 m/s - 27.78 m/s = -27.78 m/s

    3. Calculate Acceleration:

    * Acceleration (a) is the change in velocity over time.

    * a = Δv / Δt

    * a = -27.78 m/s / 30 s

    * a ≈ -0.93 m/s²

    Important Note: The negative sign indicates that the acceleration is in the opposite direction of the initial velocity. This means the vehicle is *decelerating* or slowing down.

    Therefore, the acceleration of the vehicle is approximately -0.93 m/s².

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