Mastery: JEE Main Practice Test 2026 | Exam Prep

A particle of mass $m$ is projected with velocity $v$ at an angle $\theta$ with the horizontal. If the horizontal range of the projectile is $R$ and the maximum height reached is $H$. Which of the following relations is always true for a projectile motion, irrespective of the launch angle (excluding $\theta = 0^\circ$ and $\theta = 90^\circ$)?

asks for a relation that is *always* true, and option C provides the correct fundamental expressions for range and maximum height that are derived from the kinematic equations. While option A also states the correct formulas, option C is a more direct representation of how $R$ and $H$ are derived from the initial velocity components. The question implicitly asks for the correct expressions for $R$ and $H$. Question: A block of mass $M$ is placed on a rough inclined plane making an angle $\theta$ with the horizontal. The coefficient of static friction between the block and the plane is $\mu_s$. The block will remain at rest if:

A uniform rod of length $L$ and mass $M$ is pivoted at one end. It is initially held horizontal and then allowed to swing down. What is the angular acceleration of the rod when it is at an angle $\phi$ with the vertical?