
By applying the principle of conservation of mechanical energy, the potential energy of the body is completely converted into kinetic energy during the fall.
Using the equation \(mgh = \frac{1}{2} mv^2 ,\) we solve for \( v \), which gives \( v = 8 \, \text{m/s} \).
A bead P sliding on a frictionless semi-circular string... bead Q ejected... relation between $t_P$ and $t_Q$ is 
Match the following:
In the following, \( [x] \) denotes the greatest integer less than or equal to \( x \). 
Choose the correct answer from the options given below:
For x < 0:
f(x) = ex + ax
For x ≥ 0:
f(x) = b(x - 1)2