KCET2025PhysicsMotion in One Dimension
Two stones begin to fall from rest from the same height, with the second stone starting to fall ' t ' seconds after the first falls from rest. The distance of separation between the two stones becomes ' H ', ' t₀ ' seconds after the first stone starts its motion. Then t₀ is equal to
Options
- AH t + t 2 ~g
- BH g t - t 2
- CH g t + t 2
- DH g t
Correct answer
C. H g t + t 2
Step-by-step solution
aligned & S ₁= 1 2 ~gt ^2 & ~S ₂= 1 2 ~g ( t ₀-4 t )^2 & H = S ₁- S ₂ & = 1 2 gt ₀ ^2- 1 2 ~g ( t ₀-4 t )^2 aligned aligned & H = gt ₀ 4 t - 1 2 ~g 4 t ^2 & t ₀= H g t = 1 2 t aligned