a projectile can have same range for two angles

questioned by administrator @ 20/08/2021 in Physics viewed by 146 People

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

Answered by administrator @ 20/08/2021

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

Do you know the better answer?

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