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

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SUMMARY

This discussion focuses on the process of drawing velocity-time (v-t) and acceleration-time (a-t) graphs from a given displacement-time (d-t) graph. It is established that differentiating the d-t function yields the v-t function, while the second derivative of the d-t function provides the a-t function. The conversation also addresses the implications of curved lines in the d-t graph and confirms that the same differentiation principles apply regardless of the graph's shape.

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This discussion is beneficial for physics students, educators, and anyone interested in understanding the graphical representation of motion and the relationships between displacement, velocity, and acceleration.

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?
 

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