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Homework Help: Toy Dart Gun

  1. Oct 7, 2007 #1
    Okay here is the problem:
    A dart gun is fired while being held horizontally at a height of 1.55 m above ground level, and at rest relative to the ground. The dart from the gun travels a horizontal distance of 7.77 m. A child holds the same gun in a horizontal position while sliding down a 39.7 degree incline at a constant speed of 0.869 m/s. The acceleration of gravity is 9.8 m/s^2.

    What horizontal distance "x" will the dart travel if the child fires the gun forward when it is 1.1m above the ground? Answer in units of m.

    I tried finding out how fast the boy would be traveling in the x direction by using: sin 39.7 * 0.869 m/s but once I have that information, I don't know what to do with it. thanks.
  2. jcsd
  3. Oct 7, 2007 #2


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    Staff Emeritus
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    Gold Member

    Should you use the sine or cosine to find the x-component of the child's velocity?

    From the information provided in the first part, can you determine the muzzle velocity of the dart gun?
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