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March 24, 2017

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To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 340 m/s at 45.0° above the horizontal. It explodes on the mountainside 41.0 s after firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point?

  • physics - ,

    The horizontal velocity component is
    Vx = 340 cos 45 = 240.4 m/s.
    x coordinate = 240.4 m/s x 41.1 s = __

    For the y coordinate, use the initial vertical velocity component
    Vyo = 340 sin 45 = 240.4 m/s

    y = Voy*41.2 - (1/2) g*(41.2)^2

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