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March 28, 2017

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A model rocket is launched straight upward with an initial speed of 47.8 m/s. It accelerates with a constant upward acceleration of 1.83 m/s2 until its engines stop at an altitude of 163 m. What is the maximum height reached by the rocket?

  • Physics - ,

    Vf^2 = Vo^2 + 2ad,
    Vf^2 = (47.8)^2 + 2*1.83*163 = 2881.42,
    Vf = 53.7m/s.

    h = 163 + (Vf^2 - Vo^2) / 2g,
    h = 163 + (0 - (53.7)^2) / -19.6 = 310m.

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