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Simple Projectile Motion I'm sure

  1. Feb 16, 2009 #1
    1. The problem statement, all variables and given/known data
    A group of physics students are conducting an experiment in projectile motion. They want to launch a ball into a bucket that is 8 m away from their spring-loaded launcher. They have hypothesized that by setting their launcher to its long-range setting and placing the launcher barrel at a 35 degree angle that they can consistently hit the bucket when they fire the launcher. Ignoring air resistance, calculate the time of flight for the ball in their experiment.


    2. Relevant equations

    x=x0+V0xt
    Vy=V0y-gt
    y=y0+V0yt-1/2gt^2
    x=(V0cos(theta))t
    y=(V0sin(theta))t-1/2gt^2
    Vx=V0cos(theta)0
    Vy=V0sin(theta)-gt

    3. The attempt at a solution

    Not sure but I know this is simple. I am just brain dead right now because I am really sick but I need to get this done for tomorrow. I think you find the time using the y-components...
     
  2. jcsd
  3. Feb 16, 2009 #2

    LowlyPion

    User Avatar
    Homework Helper

    You know the angle θ. You know that Vox = 8m / T = Vo*Cos35

    You also know that VoSinθ is vertical velocity.

    From V = Vo - g*T

    you know then that time of flight is

    VoSin35 - g*T/2 = -VoSin35 or T = 2VoSin35/g

    Since T in both equations is equal then you can determine Vo and then you can figure the total time.
     
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