Question

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

Answer 1

Let initial velocity is U and maximum height is h.
At maximum height velocity will be zero:
0 =U² -2gh
U² =2gh
Now given velocity is = 10m/sec at height h/2
so 10² = U² -2gh/2
100 =2gh -gh
h = 100/10
h =10 m