Final answer:
The questions are about principles of physics, specifically projectile motion and dynamics in rotational motion, and they are appropriate for a high school level comprehension.
Step-by-step explanation:
The questions provided revolve around the concepts of projectile motion and dynamics in rotational motion, specifically involving angle calculation in the context of physics. These are typical high school level physics problems that require understanding of kinematics and dynamics as well as mathematical skills to solve for unknown variables using given data.
For example, the problem of calculating the angle above the horizontal that a basketball player must throw the ball to score a free throw involves setting up equations for projectile motion and solving for the angle considering initial speed, horizontal distance, and difference in height. Similarly, determining the angle at which the rider's cage hangs during rotation would involve understanding of centripetal forces and dynamic equilibrium.
The proper understanding and application of these concepts allow for the determination of various motion parameters in real-life contexts, such as sports or amusement park rides, by applying the principles studied in high school physics.