AP EAMCET202422 May 2024Morning ShiftPhysicsMotion in One DimensionActual
A body thrown vertically upwards from the ground reaches a maximum height ' H '. The ratio of the velocities of the body at heights 3 H 4 and 8 H 9 from the ground is
Options
- A4: 9
- B27: 32
- C3: 2
- D3: 8
Correct answer
C. 3: 2
Step-by-step solution
Maximum height, H = u ^2 2 ~g u = 2 gH For h ₁= 3 H 4 , v ₁^2= u ^2-2 gh ₁=( 2 gH )^2-2 ~g ( 3 H 4 ) v ₁= 1 2 gH For h ₂= 8 H 9 , v ₂^2= u ^2-2 gh ₂=( 2 gH )^2-2 ~g ( 8 H 9 ) v ₂= 2 9 gH v ₁ v ₂ = gH 2 9 2 gH = 3 2