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a cannon fires at a castle. the walls are 9m high. if the cannon is pointed at an angle of 60 degrees and has a muzzle velocity of 35m/s will the cannon balls go over the wall or hit the wall?

  • physics -

    You need to specify how far the cannon is from the wall. The answer will depend upon it.

    There is a vertical velocity component of
    Vyo = 35 sin 60 = 25.98 m/s.
    The cannonball can rise to a height

    H = (V sin 60)^2/(2g) = 34.4 m

    Surely the cannonball will clear the wall if the cannon is neither too close nor too far away.

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