A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height 3β from the ground, as shown in the figure. A spherical ball of mass π is released on the slide from rest at a height β from the top of the terrace. The ball leaves the slide with a velocity
\(\hat{u}_0=u_0\hat{x}\) and falls on the ground at a distance π from the building making an angle ΞΈ with the horizontal. It bounces off with a velocity of v and reaches a maximum height of β
1. The acceleration due to gravity is π and the coefficient of restitution of the ground is
\(\frac{1}{\sqrt3}\). Which of the following statement(s) is(are) correct?
