Question

54. A body is projected vertically upwards from ground
with a velocity 'u' and it gains a maximum height
'H'm. At a point 'x'm height (x < H), the ratio of
its potential to Kinetic energy is 1 : 2. Now if the
body is projected upwards with a velocity '3u' from
the ground, find the ratio of its potential to kinetic
energy at a point whose height is ‘3x'm. (Ans 8:1)​

Answer 1

Answer in attachment:......

Answer 2

Question :-

A body is projected vertically upwards from ground

with a velocity 'u' and it gains a maximum height

'H'm. At a point 'x'm height (x < H), the ratio of

its potential to Kinetic energy is 1 : 2. Now if the

body is projected upwards with a velocity '3u' from

the ground, find the ratio of its potential to kinetic

energy at a point whose height is ‘3x'm.

Solution :-

For answer see the attachment :)