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You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 3.8 s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?

  • Physics -

    hf=hi+vi*t-1/2 g t^2
    if hf=hi=0
    0=t(vi-1/2 g t)
    so t= 2Vi/g

    solve for Vi.

    Now, max range at 45 deg.
    find time in air:
    hf=hi+visin45*t-1/2 g t^2 again,hf=hi=0
    t= sqrt 2visin45/g

    max range: distance= vicos45*t

  • Physics -


  • Physics -


  • Physics -

    Hi! Sorry the math for the proposed answer is wrong. The equation was manipulated incorrectly and will give a wrong answer

  • btec fun -

    it wil go ro the ski

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