speed–time graph interpretation, uniform acceleration, constant speed, deceleration, total distance, ratio-based motion analysis, time and acceleration calculation elastic collision, momentum conservation, impulse calculation, opposite direction motion, post-collision speed difference, mass ratio effect constant vector acceleration, initial velocity vector, speed magnitude calculation, angle of motion direction, motion direction vector condition, time solving using vectors non-uniform rod equilibrium, support reaction points, center of mass distance, upward/downward tilting condition, torque balance, moment equations two-phase motion, uniform acceleration, speed change, acceleration switch point, total distance calculation, kinematics modeling