* Uniform: This means the change in velocity is consistent over time. There's no speeding up or slowing down within that constant rate.
* Accelerated: This means the velocity is changing. The object is either speeding up (positive acceleration) or slowing down (negative acceleration, also called deceleration).
Key Characteristics of Uniformly Accelerated Motion:
* Constant acceleration: The rate at which velocity changes remains the same.
* Linear change in velocity: If you graph velocity against time, you'll get a straight line, indicating a consistent increase or decrease in velocity.
* Non-constant velocity: While the acceleration is constant, the velocity is always changing.
Examples:
* Free fall: Near the Earth's surface, objects falling without air resistance experience a constant acceleration due to gravity (approximately 9.8 m/s²).
* A car accelerating from rest: If the car keeps its gas pedal pressed at a constant level, it will accelerate at a constant rate.
* A ball rolling down a slope: The ball's speed increases steadily as it rolls down the slope, experiencing uniform acceleration.
Important Formulas for Uniformly Accelerated Motion:
* v = u + at: Final velocity (v) equals initial velocity (u) plus acceleration (a) multiplied by time (t).
* s = ut + 1/2 at²: Displacement (s) equals initial velocity (u) times time (t) plus 1/2 acceleration (a) times time squared (t²).
* v² = u² + 2as: Final velocity squared (v²) equals initial velocity squared (u²) plus 2 times acceleration (a) times displacement (s).
These formulas help you calculate things like the final velocity, displacement, or time involved in uniformly accelerated motion.