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 \(K \).