Two projectiles are fired at different angles with the same magnitude of velocity, such that they have the same range. At what angles they might have been projected ?
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a
25o and 65o
b
35o and 75o
c
10o and 50o
d
None of these
answer is A.
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Detailed Solution
We know that, R=u2sin2θgGiven that, R1=R2 and u1=u2∴ R1=u14sin2θg and R2=u22sin290∘−θg∴ sin2θ=sin290∘−θ=cos2θSolving we get, θ=25∘. The other angle is 90∘−25∘=65∘