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A hunter aims directly at a target on the same level of 120m away.

a.) If the bullet leaves the gun at a speed of 250m/s, by how much will it miss the target?
b.) At what angle should the gun be aimed so the target will be hit?

  • Mechanics -

    (a) The bullet takes t = 120/250 = 0.48 s to reach the deer. How far will it fall in that time? About 2.26 m.

    bullet fall distance = (1/2) g t^2

    (b)Aim above the deer an angle A such that V*sinA*t = (g/2) t^2
    sin A = (g/2)*t/V = 0.009408
    A = 0.54 degrees

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