JEE Advanced 2023 Paper 1 Physics Q1

Physics · Kinematics · Work, Energy & Power · Momentum & Collisions

Problem

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 u⃗0\vec{u}_{0}=u₀x^\hat{x} 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 v⃗\vec{v} and reaches a maximum height h₁. The acceleration due to gravity is g and the coefficient of restitution of the ground is 1/√3. Which of the following statement(s) is(are) correct?

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