First slide

Release from certain height

Question

A parachutist after bailing out falls 50m without friction. When parachute opens, it decelerates at 2 m/s². He reaches the ground with a speed of 3m/s. at what height, did he bail out?

Easy

A

91 m
B

182 m
C

293 m
D

111 m

Solution

$v e l o c i t y r e a c h e d a f t e r t r a v e l l i n g f o r 50 m, v^{2} = 2 g \times 50 v = \sqrt{980} A l s o, 3^{2} = 980 - 2 \times 2 \times s s = 971 / 4 = 243 m H e n c e t o t a l h e i g h t = 243 + 50 = 293 m$

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