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What is the relation of sinθ and time in projectile motion with angle

  1. Apr 12, 2013 #1
    1. The problem statement, all variables and given/known data
    I am wondering what is the relation of sinθ & time of flight in projectile motion with angle.
    (under the case of same velocity)
    Is the graph of this in a parabola shape??

    2. Relevant equations
    t = (2u sinθ) / g
    (u in constant)

    3. The attempt at a solution
    would it be correct that sinθ ∝ time of flight ?

    would the relation be affected after the angle of projection is lager than 45?

    :cry: This puzzles me a lot...~_~
     
  2. jcsd
  3. Apr 12, 2013 #2

    Andrew Mason

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    Welcome to PF!

    If you want to plot time of flight vs. angle I would put θ on the x axis and t on the y axis. The graph would be a sine curve, not a parabola. It is similar in appearance to a parabola, though. There is no change in the relation at θ=45° .

    The range of θ is 0 → π (180°) and reaches a maximum at θ = π/2 (90°).

    AM
     
  4. Apr 12, 2013 #3
    HI Manson! Thank you so much for your answer@@!! It's a big surprise for me!!
    would u mind have a little more explanation on this phenomenon??
    I find it so interesting that the graph would appear as a sine curve.
     
    Last edited: Apr 12, 2013
  5. Apr 12, 2013 #4

    cepheid

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    Why does it surprise you so much when you have an equation right in your original post that says t = (some stuff)*sin(theta) ?

    Andrew Mason: didn't the OP want the relation between t and sin(theta), not the relation between t and theta? The former would be linear.
     
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