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