# A classical mechanics problem by Nitin Sachan

A particle of mass $$m$$ moves on the $$x$$-axis as follows:

It starts from rest at $$t=0$$ from the point $$x=0$$ and comes to rest at $$t=1$$ second at the point $$x=1$$.

No other information is available abotu its motion at intermediate times $$(0<t<1)$$.

If $$\alpha$$ denotes the instantaneous acceleration of the particle.

It is given that at some point or points in the path $$|\alpha | \geq K$$, where $$K$$ is a natural number.

Compute $$K$$.

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