JEE Advanced2024PhysicsMotion in One DimensionActual
A ball is thrown from the location (x₀, y₀ )=(0,0) of a horizontal playground with an initial speed v₀ at an angle ₀ from the +x -direction. The ball is to be hit by a stone, which is thrown at the same time from the location (x₁, y₁ )=(L, 0) . The stone is thrown at an angle (180- ₁ ) from the +x -direction with a suitable initial speed. For a fixed v₀ , when ( ₀, ₁ )= (45^ , 45^ ) , the stone hits the ball after ti
Correct answer
0
Step-by-step solution
For case I : a_ rel =0 For collision v ₀ 2 = v 2 v = v ₀ So T ₁= L v ₀ 2 + v 2 ₁= L 2 v ₀ . .(1) For case II, a_ rel =0 For collision, v ₀ 3 2 = v 2 aligned & v = 3 v ₀ & So, T ₂= L v ₀ 2 + v 3 2 & ~T ₂= L v ₀ 2 + 3 v ₀ 2 & T ₂= L 2 v ₀ . .(2) & so, ( T ₁ ~T ₂ )^2=( 2 )^2=2 ( T ₁ ~T ₂ )^2=2 aligned