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Q.

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=u2sin⁡2θgGiven that, R1=R2  and  u1=u2∴ R1=u14sin⁡2θg and  R2=u22sin⁡290∘−θg∴ sin⁡2θ=sin⁡290∘−θ=cos⁡2θSolving we get, θ=25∘. The other angle is 90∘−25∘=65∘
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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 ?