A stone thrown vertically upward from a certain height. It covers half of distance covered during the time of flight to last second. The time of flight (in second) of the stone is__________
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answer is 4.
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Detailed Solution
From figure, v=v0−gt1 Or 0=v0−gt1∴ t1=v0g ........(i) and v2=v02−2gh or 02=v02−2gh∴ h=v022g .......(ii) According to the question,h+H−2h+H2=12gt2−12 ......(iv) From Eqs. (i), (ii), (ii) and (iv), we getTime of flight = t1 + t2 =4s