JIPMER 2019 Morning Papers Online Practice

Speed gain before collision
u = √2g(H−h)

u sinθ = v cosθ
v = u tan θ
v = √2g(H−h) tan θ
Range, R = V √

2h

g

= √2g(H−h) √

2h

g

tanθ
R = 2√h(H−h) tanθ
Range will be maximum when h (H – h) = P is maximum
P = hH – h ‌2

dP

dh

= H – 2h = 0
h =

H

2

⇒

h

H

=

1

2