# Answer to Question #16259 in Mechanics | Relativity for chaitanya khobragade

Question #16259

a particle is thrown vertically upwars. its velocity at half of the height is 10m/s.what is the mximum height attained by it ?

Expert's answer

Let initial velocity is U and maximum height is h.

At maximum height velocity will be zero:

0 =U

U

Now given velocity is = 10m/sec at height h/2

so 10

100 =2gh -gh

h = 100/10

h =10 m

At maximum height velocity will be zero:

0 =U

^{2}-2ghU

^{2}=2ghNow given velocity is = 10m/sec at height h/2

so 10

^{2}= U^{2}-2gh/2100 =2gh -gh

h = 100/10

h =10 m

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