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5 November, 02:17

While watching a small fireworks display from a building 204 feet tall, you observe a rocket that travels from ground to eye level in 6 seconds, and explodes. What is the maximum speed that you can guarantee that the rocket reached?

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  1. 5 November, 03:40
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    204 ft = 62.2 m

    We know that the initial velocity of the rocket was 0, we can find its acceleration using:

    s = ut + 1/2 at²

    62.2 = 0.5a (6) ²

    a = 3.46 m/s²

    Now, the final velocity of the rocket:

    v = u + at

    v = 3.46 x 6

    v = 20.76 m/s = 68.1 ft/s
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