Two particles 1 and 2 are projected with same speed 𝑣 as shown in figure. Particle 2 is on the ground and particle 1 is at a height ℎ from the ground and at a horizontal distance 𝑠 from particle 2. If a graph is plotted between 𝑣 and 𝑠 for the condition of collision of the two then (𝑣 on 𝑦-axis and 𝑠 on 𝑥-axis)

Two particles 1 and 2 are projected with same speed 𝑣 as shown in figure. Particle 2 is on the ground and particle 1 is at a height ℎ from the ground and at a horizontal distance 𝑠 from particle 2. If a graph is plotted between 𝑣 and 𝑠 for the condition of collision of the two then (𝑣 on 𝑦-axis and 𝑠 on 𝑥-axis)

Question: wo particles 1 and 2 are projected with same speed 𝑣 as shown in figure. Particle 2 is on the ground and particle 1 is at a height ℎ from the ground and at a horizontal distance 𝑠 from particle 2. If a graph is plotted between 𝑣 and 𝑠 for the condition of collision of the two then (𝑣 on 𝑦-axis and 𝑠 on 𝑥-axis)

(A) It will be a parabola passing through the origin

(B) It will be straight line passing through the origin and having a slope of \sqrt{\dfrac{g}{8h}}

(C) It will be a straight line passing through the origin and having a slope of \sqrt{\dfrac{g}{4h}}

(D) It will be a straight line not passing through the origin