 okay guys so here is the solution for question of the day of the date 22nd of March 2021 okay now please understand that read the question and respond that's it right suppose there is a building of height 256 meter congratulations that we have that high building you toss a coin up with some speed okay vertical fine from the terrace see this is what happens right or not you are doing it from the terrace good this coin lands on the ground in 10 times the time taken by it to reach maximum height what speed with which you have tossed it understand the scenario I'll redraw the diagram here is the terrace because I do not have a space up as you will toss the coin that coin will go to the maximum height and eventually will fall on ground this distance is given to be 256 meter yes or no right now what it is stating is that the time taken within this clear so the coin lands on the ground in 10 times the time taken by it to reach the maximum time that mean simple line from here going this whole way up and then coming down is 10 times the time can I say this is 90 yes or no right sure very good easy easy easy easy easy easy because this whole is a 10 t clear sure but yeah now you have to solve it right or not you do not know the velocity of release but what you know is that in order to travel from here to here via that long way the displacement is anyway 256 right or not s is equal to we do not do not know you but we know that t is nothing but 10 t okay so plus half a t square we are assuming that acceleration due to gravity is okay 10 9.8 okay into 10 t square clear now please go with the sign your displacement is in this direction you are release speed was up so I'll make it a minus sign here whereas this remains as it is sure no doubt fine so you will get a quadratic equation as 100 and 10 1000 so 500 t square minus 10 ut minus 256 equal to 0 right you know that you very very well know that if you release an object with an initial velocity you the final velocity will be 0 okay v is equals to u plus a t so time taken to reach the maximum height is minus u by g can you please put the same over here u by 10 rather okay if you do that if you do that if you do that what you get is 500 into u square by 100 this g is also minus minus minus will get cancelled you know it very well minus 10 into okay u into instead of t again u by 10 okay minus 256 was equal to 0 easy right this is 1 2 3 4 5 u square minus u square that is 4 u square is 256 u square is equal to 4 6 are 24 4 4 are 16 so u is equals to 8 meter per second is the answer got it everyone very good