A classical mechanics problem by Ayush Verma

We have, $\displaystyle u=0$ , $\displaystyle g=9.8$ , $\displaystyle h=19.6$ .

From the second equation of motion, we have $\displaystyle \implies 19.6=\frac{1}{2} \times 9.8 \times t^{2} \implies t=2$

Clearly, distance covered in the last half seconds $\displaystyle = h_{2}-h_{1.5}$ , which on evaluating, we have 8.575 as the final answer.