30.A projectile can have the same range R for two angles of projection.if T1 and T2 be the time of flights in the two cases,then the product of the two time of flights is directly proportional to
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projectile can have same range for angles of projection ϴ and 90-ϴ
=> T1=2Usinϴ/g T2=2Usin(90-ϴ)/g=2Ucosϴ/g
T1*T2=4U^2sinϴcosϴ/g^2=2R/g [R is range]
so it is directly proportional to range of projectile
=> T1=2Usinϴ/g T2=2Usin(90-ϴ)/g=2Ucosϴ/g
T1*T2=4U^2sinϴcosϴ/g^2=2R/g [R is range]
so it is directly proportional to range of projectile
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