physic

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A rocket accelerates straight up from rest for 20 seconds with an acceleration of 8 m/s2. After 20 seconds the rocket motor shuts off and the rocket continues to coast upwards. How high does the rocket go in meters?

  • physic -

    During fuel burn,
    v = at = 8*20 = 160

    after that, the height

    h = 160t - 4.9t^2
    the vertex of the parabola occurs when t = 160/9.8 = 16.32 seconds

    At that point, h(t) = 1306.12 m

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