NEET2016PhysicsMotion in Two DimensionsActual
A stone projected with a velocity u at an angle with the horizontal reaches maximum height H₁ . When it is projected with velocity u at an angle ( 2 - ) with the horizontal, it reaches maximum height H₂ . The relation between the horizontal range R of the projectile, H₁ and H₂ is
Options
- AR=4 H₁ H₂
- BR=4 (H₁-H₂ )
- CR=4 (H₁+H₂ )
- DR= H₁^2 H₂^2
Correct answer
A. R=4 H₁ H₂
Step-by-step solution
We know that, H₁= u^2 ^2 2 g aligned & and H₂= u^2 ^2(90- ) 2 g & H₂= u^2 ^2 2 g & H₁ H₂= u^2 ^2 2 g u^2 ^2 2 g aligned = 4 4 U^2 ^2 2 g U^2 ^2 2 g = (u^2 2 )^2 16 g^2 [ ^2 =2 ] aligned & = R^2 16 R^2 & =6 H₁ H₂ R & =4 H₁ H₂ aligned