How do you draw v-t, a-t and d-t graphs

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NeomiXD
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I was wondering if someone can explain to me in detail on how to accurately draw a velocity-time graph and an a-t graph when the d-t graph is given.
 
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If you differentiate the d-t function you get the v-t function.
The second derivative of the d-t funciton is the a-t function.
You just need to know how to draw the function after you solve for it.
 
what if the d-t graph had a curved line? does the same thing apply?