Uniformly accelerated motion is a fundamental concept in physics where an object's velocity changes at a constant rate. The three key equations describe the relationships between initial velocity, final velocity, acceleration, time, and displacement. The velocity-time graph shows a straight line, indicating constant acceleration.
Free fall motion is a special case of uniformly accelerated motion where objects fall under gravity alone. The acceleration is constant at 9.8 meters per second squared. The distance fallen increases quadratically with time, while velocity increases linearly. This creates the characteristic parabolic trajectory we observe.
Projectile motion combines horizontal uniform motion with vertical free fall motion. The horizontal velocity remains constant while the vertical velocity changes due to gravity. The trajectory forms a parabolic path. The range depends on both initial velocity and launch angle, with maximum range occurring at 45 degrees.
Oblique projectile motion demonstrates how launch angle affects trajectory. At 30 degrees, the projectile travels far but low. At 60 degrees, it reaches high but doesn't travel as far. The optimal angle of 45 degrees provides maximum range. The flight time and maximum height both depend on the vertical component of initial velocity.