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A projectile has same range for two angles of projection if times of flight in two cases are t1 and t2 then the range of projectiles is
A projectile has same range for two angles of projection if times of flight in two cases are t1 and t2 then the range of projectiles is

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4 years ago

Atin Vikram Singh
25 Points
```							A Projectile has Same range for 2 diff. angles  R1=R2THIS IMPLIES THATAngle of projectile 1 +Angle of Projectile 2 =90(Simple rule Can be proved if required)Let                  a      +              b              =90a=90-bsin a =cos bT1 = 2 u sin a/g ;;  T1 =2 u cos b/g ; ;cos b=T1 .g /2uT2= 2 u sin b/g ;;  sin b=T2.g/2uR2 = u*u*sin2b/g=u*u*2sin b cos b/gSUBSTITUTE THE VALUES=u*u*2*T2.g.T1.g/g.2u.2u=T2*T1*g/2(WE HAVE ASSUMED THAT THE PROJECTILES HAVE SAME INITIAL VELOCITYAND ARE PROJECTED FROM SAME POINTS SIMULTANEOUSLY)
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4 years ago
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