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How do I determine the maximum distance, that the ball moves upward, and the time for

  1. Jun 30, 2012 #1
    1. The problem statement, all variables and given/known data

    I want to learn how to solve problems with air resistance.
    The equation is shown at the website below.
    http://en.wikipedia.org/wiki/Drag_(physics [Broken])


    Example:
    A 0.5 kg ball is thrown upward at 25 m/s. The density of the air = 1.3 kg/m^3. The drag coefficient = 0.8. Cross sectional area = 0.05 m^2

    Fd = ½ * 1.3 * v^2 * 0.8 * 0.05
    Fd = 0.026 * v^2
    How do I determine the maximum distance, that the ball moves upward, and the time for the upward trip?


    2. Relevant equations

    Fd = ½ * density * velocity^2 * drag coefficient * Cross sectional area

    3. The attempt at a solution

    Fd = ½ * density * velocity^2 * drag coefficient * Cross sectional area
    Fd = ½ * 1.3 * v^2 * 0.8 * 0.05
    Fd = 0.026 * v^2

    Net force = m * g – Force of air resistance
    Net force = (0.5 * 9.8) – 0.026 * v^2
    Net acceleration = Net force ÷ mass
    Net acceleration = 9.8 – 0.052 * v^2

    How do I determine the maximum distance, that the ball moves upward, and the time for the upward trip
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Jun 30, 2012 #2
    Re: How do I determine the maximum distance, that the ball moves upward, and the time

    What does edit tags meam?
     
  4. Jun 30, 2012 #3
    Re: How do I determine the maximum distance, that the ball moves upward, and the time

    First, mg is acting against the initial motion of the ball, so it should be negative. From that it may be a good place to start to solve for the initial net acceleration of the ball. Then remember that a=dv/dt
     
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