A body dropped from the top of a tower falls through hundred metres during the last two seconds of its fall . what is the duration of its fall ?
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let t be time taken
u=0
s in last 2s=s in total - s in (t-2)sec
100=ut+1/2at²-(u(t-2)+1/2a(t-2)²)
100=0+1/2at²-(0+1/2a(t²+4-2t))
100=1/2at²-(1/2at²+2a-at)
100=1/2at²-1/2at²-2a+at
100=-2a+at
100=-2*10+10*t
100+20=10t
t=120/10=12s
u=0
s in last 2s=s in total - s in (t-2)sec
100=ut+1/2at²-(u(t-2)+1/2a(t-2)²)
100=0+1/2at²-(0+1/2a(t²+4-2t))
100=1/2at²-(1/2at²+2a-at)
100=1/2at²-1/2at²-2a+at
100=-2a+at
100=-2*10+10*t
100+20=10t
t=120/10=12s
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