1.

From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path. The relation between H, u and n is :

Answer»

`GH=(n-2)u^(2)`
`2gH=n^(2)u^(2)`
`gH=(n-2)^(2)u^(2)`
`2gH=NU^(2)(n-2)`

Solution :Here TIME to REACH the maximum HEIGHT `t_(1)=u/g`
If `t_(2)` be the time taken to hit the ground, then
`-H=ut_(2)-1/2g t_(2)^(2)`
But `t_(2)=nt_(1)`(given)
`implies-H=u(nu)/g-1/2g(n^(2)u^(2))/g^(2)implies2gH=nu^(2)(n-2)`


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