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A parachutist bailing out fall for 5 sec and when it open it descends with an deceleration of 1m/s2 and reach the ground with a speed of 3 m/s find the height at which he was dropped.

a
1245.5 m
b
1370.5 m
c
1000 m
d
1395 m

detailed solution

Correct option is B

till up to 5 sec it is like a freely falling bodyS=Ut+12at2,S=0+12(g)52 S=12×10×5×5=125mThe velocity it gain V=U+at  ⇒V=0+10×5⇒V=50m/sAfter the parachute is openU=50m/s   V=3m/s    a=−1m/s2   S=? From V2−U2=2s32−502=2−1S⇒S=1245.5m Total height is 1245.5+125=1370.5m

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