A cannon on a level plane is aimed at an angle θ above the horizontal and a shell is fired with a muzzle velocity vs towards a vertical cliff a distance D away. Then theheight from the bottom at which the shell strikes the side walls of the cliff is
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a
Dsinθ−gD22v02sin2θ
b
Dcosθ−gD22v02cos2θ
c
Dtanθ−gD22v02cos2θ
d
Dtanθ−gD22v02sin2θ
answer is C.
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Detailed Solution
Equation of trajectory for oblique projectile motiony=xtanθ−gx22u2cos2θ Substituting x=D and u=v0h=Dtanθ−gD22v02cos2θ