Physics Question from JEE Main 2026 · 23 January, Shift 2

A paratrooper jumps from an aeroplane and opens a parachute after $2 \, \text{s}$ of free fall and starts decelerating with $3 \, \text{m/s}^2$. At $10 \, \text{m}$ height from the ground, while descending with the help of the parachute, the speed of the paratrooper is $5 \, \text{m/s}$. The initial height of the aeroplane is _____ $\text{m}$.

($g = 10 \, \text{m/s}^2$)