A particle when projected vertically upwards from the ground, takes time T to reach maximum height H. Find out
(i) The height of the particle from ground at `T//2,2T//3,4T//3,5T//4` and also find the ratio of K.E. to P.E. for particle at the same instant of time.
(ii) If the particle crosses a point at height `7H//16` at time `t_(1)` and `t_(2)` then find `t_(1)//t_(2)`

Answer

(i) `3H//4,8H//9,8H//9,15H//16, 1:3,1:8,1:8,1:15`
(ii) 1 : 7