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A gun fires a shell at an angle of elevation of 30 degrees with a velocity of 2*10^3m/s. What is the horizontal and vertical component of the velocity? What is the range of the shell? how high will the ball rise

  • Science -

    Vo = 2000m/s @ 30o.
    Xo = 2000*cos30.
    Yo = 2000*sin30 = 1000 m/s.

    Range = Vo^2*sin(2A)/g.
    Vo = 2000 m/s.
    2A = 60o.
    g = 9.8m/s^2.

    hmax = (Y^2-Yo^2)/2g.
    hmax = (0-10^6)/19.6 = 51,020 m.

  • Science -

    51,020m

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