A parachutist after bailing out falls $50 \mathrm{~m}$ without friction. When parachute opens, it…

A parachutist after bailing out falls $50 \mathrm{~m}$ without friction. When parachute opens, it decelerates at $2 \mathrm{~m} / \mathrm{s}^2$. He reaches the ground with a speed of $3 \mathrm{~m} / \mathrm{s}$. At what height, did he bail out?
  1. $91 \mathrm{~m}$
  2. $182 \mathrm{~m}$
  3. $293 \mathrm{~m}$
  4. $111 \mathrm{~m}$

Solution

$s=50+\left(\frac{3^2-(2 \times 10 \times 50)}{2(-2)}\right)$ $=293 \mathrm{~m}$.

Asked in: JEE Main 2005

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