Assess students' ability to apply trigonometry and kinematic equations to calculate projectile trajectories in sports scenarios. Tasks include resolving an initial speed into horizontal and vertical components using sine and cosine, computing time of flight, maximum height, horizontal range, and impact velocity under constant gravity (neglect air resistance), performing unit conversions, solving for required launch angle or initial speed to hit targets, and interpreting or optimizing results in contexts such as basketball shots, soccer kicks, javelin throws, or golf drives.