Questions
A cannon on a level plane is aimed at an angle θ above the horizontal and a shell is fired with a muzzle velocity v0 towards a vertical cliff a distance D away, Then the height from the bottom at which the shell strikes the side walls of the cliff is
detailed solution
Correct option is C
The time taken to move a horizontal distance D is given byt=D/v0cosθThe vertical distance moved in this timeh=v0sinθ×D/v0cosθ−12gD/v0cosθ2=Dsinθcosθ−gD22v02cos2θ=Dtanθ−gD22v02cos2θTalk to our academic expert!
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Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.
Reason : Range of projectile does not depend on the initial velocity of a body.
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