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For a given velocity, a projectile has the same range R for two angles of projection. If t1 and t2 are the time of flight in the two cases, then t1t2 is equal to

a
2Rg
b
Rg
c
4Rg
d
R2g

detailed solution

Correct option is A

R =u2sin2θg at angles θ and 90°-θNow,  t1=2usinθg and t2=2usin90°-θg=2ucosθg∴  t1t2=2gu2sin2θg=2Rg

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