AP EAMCET Engineering 18 Sep 2020 Shift 2 Paper

If a body is projected vertically upwards with a velocity of v from the surface of planet, then maximum height attained by the body is
h=‌

v2R

2gR−v2

...(i)
But given that,
v=‌

ve

2

=‌

√2gR

2

⇒v2=‌

2gR

4

v2=‌

gR

2

...(ii)
h=‌

‌ gR 2 ⋅R

2gR−‌ gR 2

=‌

‌ gR2 2

3gR 2

⇒h=‌

R

3