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

Thread starter NeomiXD
Start date Sep 11, 2011
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To accurately draw velocity-time (v-t) and acceleration-time (a-t) graphs from a distance-time (d-t) graph, one must differentiate the d-t function to obtain the v-t function, and then differentiate the v-t function to get the a-t function. When the d-t graph features a curved line, the same differentiation principles apply, but the resulting v-t and a-t graphs will reflect the curvature in the d-t graph. It is essential to understand how to interpret and sketch these functions based on the calculated derivatives. Properly drawing these graphs involves recognizing the relationship between the slopes of the curves and their corresponding functions. Mastery of these concepts is crucial for accurately representing motion in physics.

Sep 11, 2011

NeomiXD

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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Sep 11, 2011

f25274

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.

Sep 11, 2011

NeomiXD

what if the d-t graph had a curved line? does the same thing apply?

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