Physics Linear Motion and Velocity

Study Notes

Linear motion refers to an object moving in a straight line.
Described by three key variables:
- Displacement (Δx): change in position of an object.
- Distance (d): total length of path traveled by an object.
- Speed (s): rate of change of distance.

Velocity: rate of change of displacement (Δx) with respect to time (t).
- Average velocity: total displacement divided by total time.
- Instantaneous velocity: velocity at a specific instant in time.
Acceleration: rate of change of velocity with respect to time (t).
- Average acceleration: total change in velocity divided by total time.
- Instantaneous acceleration: acceleration at a specific instant in time.

Equations of Motion:
1. v = v0 + at: relates initial velocity (v0), acceleration (a), and time (t) to final velocity (v).
2. x = x0 + v0t + (1/2)at^2: relates initial position (x0), initial velocity (v0), acceleration (a), and time (t) to final position (x).
3. v^2 = v0^2 + 2a(x - x0): relates initial velocity (v0), acceleration (a), and displacement (Δx) to final velocity (v).
These equations can be used to solve problems involving linear motion, velocity, and acceleration.

Linear motion is the movement of an object in a straight line, characterized by three key variables: displacement, distance, and speed.
Displacement (Δx) is the change in position of an object.
Distance (d) is the total length of the path traveled by an object.
Speed (s) is the rate of change of distance.

The equations of motion describe the relationships between initial velocity, acceleration, and time to final velocity and position.
The first equation of motion is v = v0 + at, relating initial velocity, acceleration, and time to final velocity.
The second equation of motion is x = x0 + v0t + (1/2)at^2, relating initial position, initial velocity, acceleration, and time to final position.
The third equation of motion is v^2 = v0^2 + 2a(x - x0), relating initial velocity, acceleration, and displacement to final velocity.