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how do you determine whether acc. is uniform or non-uniform using calculus(not by graph) ??? any help is thoroughly appreciable ! thanks .

how do you determine whether acc. is uniform or non-uniform using calculus(not by graph) ??? 


any help is thoroughly appreciable !


thanks .


 

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1 Answers

Ritvik Gautam
85 Points
11 years ago

Suppose, we are given velocity in terms of time, say

v=bt

Now for acceleration, we need to differentiate velocity, i.e.,

a=d(v)/dt

a=d(bt)/dt

a=b

which means a is not dependent on time and is constant i.e., b.

So, we conclude that after differentiating the velocity to get the acceleration, If we get a constant term which is independent of any kind of variable, then the acceleration is constant.

 

 

 

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