a stone thrown vertically upward from a certain height. it cover half of distance covered during the time of flight to last second. find time of flight (in second) of the stone
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Let body takes T sec to reach maximum height.
Then v = u - gT
v = 0, at highest point.
T=u/g ………… (1)
Velocity attained by Body in (T - t) sec v = u - g (T -t)
= u-gT + zt = u-g u/g + gt
or v = gt …………. (2)
Distance travelled in last t sec of its ascent
S = (gt)t -1/2 gt2 = 1/2 gt2
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