Key Concepts and Formulas
- Position: The location of an object relative to a reference point.
- Displacement: The change in position of an object. It is a vector quantity.
- Distance: The total path length covered by an object. It is a scalar quantity.
- Speed: The rate of change of distance. It is a scalar quantity.
- Velocity: The rate of change of displacement. It is a vector quantity.
- Acceleration: The rate of change of velocity. It is a vector quantity.
Equations of Motion
- First Equation of Motion: v = u + at
- v: final velocity
- u: initial velocity
- a: acceleration
- t: time
- Second Equation of Motion: s = ut + (1/2)at^2
- s: displacement
- Third Equation of Motion: v^2 = u^2 + 2as
Graphs
- Position-time graph: Slope represents velocity.
- Velocity-time graph: Slope represents acceleration. Area under the graph represents displacement.
Special Cases
- Uniform motion: Constant velocity.
- Uniformly accelerated motion: Constant acceleration.
Important Points
- The area under the velocity-time graph gives the displacement.
- The slope of the velocity-time graph gives the acceleration.
- The slope of the position-time graph gives the velocity.
- The average speed is the total distance divided by the total time.
- The average velocity is the total displacement divided by the total time.
