Question

A parachutist after bailing out falls $50m$ without friction. When parachute opens, it decelerates at $2m/s^2$. He reaches the ground with a speed of $3m/s$. At what height, did he bail out?

• A. $91m$
• B. $182m$
• C. $293m$
• D. $111m$

Answer 1

The correct option is C $293m$

$A\to B$
$v^2=u^2+2as$
$v^2=0+2\times 9.8\times 50$
$v=\sqrt{980}m/s$
From $B\to C$
$V^2=u^2+2as$
$(3{)}^2=980-2\times 2\times s$
$s=242.75$
Total height $=242.72+50=292.75\approx 293m$.