Question Regarding Velocity-Time Graphs

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The discussion revolves around analyzing a velocity-time graph of a train, with tasks to create position-time and acceleration-time graphs and calculate the train's acceleration at 3.0 seconds. The calculated acceleration is confirmed as 1 m/s², but the position-time graph is criticized for not being parabolic between 0 and 4 seconds. Additionally, there is a suggestion to verify the position at 2 seconds. Overall, while the acceleration calculation is accurate, the graphical representations require significant improvement.
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Homework Statement



The figure below shows the velocity-time graph of a train that starts from the origin at t = 0s

5d714o.jpg


a) Draw a position-time graph and an acceleration-time graph for the train

b) Find the acceleration of the train at t = 3.0 s

Homework Equations



a = Vf - Vi / t

x = 1/2 at^2 + Vi x t + Xi


The Attempt at a Solution



a)
xfq3w6.jpg


b) 1 m/s^2

Do my answers look right? If not, what did I do wrong?
 
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The acceleration is correct, and the graph of x(t) is almost correct, only the part between 0 and 4 s does not look parabolic, and check x at t=2 s. ehild
 
Looks right to me. But those are really, really, truly, bad graphs.
 

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