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A cannon ball has a range R on a horizontal plane. If h and h' are the greatest heights in the two paths for which this is possible, then
detailed solution
Correct option is A
The range is same for angles α and π2−α.The range R for α is given byR=2u2sinαcosαg ….(1)Maximum height, h=u2sin2α2g … (2)The range and height corresponding to angle π2-α areR=2u2sinπ2−αcosπ2−αgand h′=u2sin2π2−α2g=u2cos2α2gNow h×h′=u4sin2α×cos2α4g2hh′=u2sinαcosα2g=R4∴ R=4hh′Talk to our academic expert!
Similar Questions
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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