Matlab Simulink: Simulate the height of ball thrown upward

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The discussion focuses on simulating the height of a ball thrown upward using Matlab Simulink, with initial conditions of a velocity of 10 m/s and a height of 0 m. The governing equation for height is derived as Height = 10t - 5t^2, based on the kinematic equation for motion under gravity. The user expresses confusion about simulating this second-order differential equation in Simulink, particularly regarding the differentiation of height with respect to time. Suggestions include utilizing existing Simulink tutorial files, such as the Simulation of a Bouncing Ball, and adjusting the initial conditions accordingly. Overall, the thread seeks guidance on implementing the simulation effectively in Simulink.
nightingale
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Homework Statement



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.

Homework Equations



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

The Attempt at a Solution


[/B]
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.
 
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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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