A parachutist after balling out falls 50m without friction . when parachute opens , it decelerates at 2m/s² .He reaches the ground with a speed of 3m/s . At what height, did he bail out ? [AIEEE 2005]
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Explanation :- Parachute bails out at height H from ground velocity at A
- V = √2gh
- √2*9.8×50 = √980 m/s
- Velocity at ground , V₁= 3m/s
- acceleration= -2m/s²
- h = 50m
- ∴ H - h = V² - V₁² /2×2
- H - h = (√980)² - 9/4
- H - h = 971/4
- H = 991 /4 + 50
- H = 242.75 + 50 ≈ 293 m Answer .
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