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Matlab Simulink: Simulate the height of ball thrown upward

  1. Apr 14, 2015 #1
    1. The problem statement, all variables and given/known data

    Upthrow simulation Conditions: initial velocity v=10m/s, initial height h=0m when t=0. Gravity acceleration g=10m/s2 .

    Using Simulink to simulate the variation of height with time when t≥0.

    2. Relevant equations

    I figured that the governing equation should be:
    Height = initial velocity (u) * time + 1/2 * acceleration * t^2

    3. The attempt at a solution

    Height = initial velocity (u) * time + 1/2 * acceleration * t^2
    Height = 10 t * 1/2 * -10 * t^2
    Height = 10 t - 5 t^2

    I don't have a clue on how to simulate the height of the ball since it is a second order differentiation. Since the height varies with time, then isn't it dh/dt?

    So, is it:

    dh/dt = 10 - 5t ?

    (I pulled the t out, and made it into differentiation)

    Now again, I have been taught simulink by my lecturer for a mere one hour, and I honestly am clueless on how to simulate that (if the governing equation is right).

    Any help will be much appreciated, thank you.
     
  2. jcsd
  3. Apr 14, 2015 #2

    RUber

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    Homework Helper

    In the Simulink tutorial files, there is one called Simulation of a Bouncing Ball. All the proper blocks are in place--you just have to change your initial conditions to match your problem.
     
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