A slide with a frictionless curved surface, which becomes horizontal at its lower end, is…

A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height 3ℎ from the ground, as shown in the figure. A spherical ball of mass m is released on the slide from rest at a height ℎ from the top of the terrace. The ball leaves the slide with a velocity and falls on the ground at a distance d from the building making an angle θ with the horizontal. It bounces off with a velocity and reaches a maximum height ℎ₁. The acceleration due to gravity is g and the coefficient of restitution of the ground is Which of the following statement(s) is(are) correct?