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A projectile is thrown from the ground such that it reaches a maximum height H above the ground and reaches a horizontal range R. The area between the path of the projectile and horizontal ground in the plane of its motion is

a
RH3
b
RH2
c
2RH3
d
3RH2

detailed solution

Correct option is C

Equation of trajectory can be written as  y=x tanθ1−xR but  tanθ=4HR hence y=4HRx1−xR Required area=∫ydx=∫0R4HRx−x2Rdx=4HRR22−R23=23RH

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