Kinematics: Velocity and Acceleration

Study Notes

Kinematics

Velocity And Acceleration

Velocity: the rate of change of an object's position with respect to time
- Measured in meters per second (m/s)
- Can be positive, negative, or zero
Acceleration: the rate of change of an object's velocity
- Measured in meters per second squared (m/s²)
- Can be positive, negative, or zero
Relationship between velocity and acceleration:
- Acceleration is the derivative of velocity with respect to time
- Velocity is the integral of acceleration with respect to time

Displacement And Distance

Displacement: the shortest distance between an object's initial and final positions
- Measured in meters (m)
- Can be positive, negative, or zero
Distance: the total length of the path traveled by an object
- Measured in meters (m)
- Always positive
Key difference: displacement is a vector quantity, while distance is a scalar quantity

Uniform And Non-uniform Motion

Uniform Motion: motion with a constant velocity
- Object travels equal distances in equal time intervals
- Graph of position vs. time is a straight line
Non-uniform Motion: motion with a changing velocity
- Object travels different distances in equal time intervals
- Graph of position vs. time is a curved line
Examples:
- Uniform motion: a car moving at a constant speed on a straight road
- Non-uniform motion: a car accelerating from rest to a high speed

Kinematics

Velocity And Acceleration

Velocity is the rate of change of an object's position with respect to time, measured in meters per second (m/s).
Velocity can be positive, negative, or zero, indicating direction of motion.
Acceleration is the rate of change of an object's velocity, measured in meters per second squared (m/s²).
Acceleration can be positive, negative, or zero, indicating increase or decrease in velocity.
Acceleration is the derivative of velocity with respect to time.
Velocity is the integral of acceleration with respect to time.

Displacement And Distance

Displacement is the shortest distance between an object's initial and final positions, measured in meters (m).
Displacement can be positive, negative, or zero, depending on the direction of motion.
Distance is the total length of the path traveled by an object, measured in meters (m).
Distance is always positive, as it is a measure of the total path length.
Displacement is a vector quantity, while distance is a scalar quantity.

Uniform And Non-uniform Motion

Uniform motion occurs when an object travels with a constant velocity.
In uniform motion, the object travels equal distances in equal time intervals.
The graph of position vs. time is a straight line in uniform motion.
Non-uniform motion occurs when an object's velocity changes.
In non-uniform motion, the object travels different distances in equal time intervals.
The graph of position vs. time is a curved line in non-uniform motion.
Examples of uniform motion include a car moving at a constant speed on a straight road.
Examples of non-uniform motion include a car accelerating from rest to a high speed.

Kinematics

Velocity And Acceleration

Velocity is the rate of change of an object's position with respect to time, measured in meters per second (m/s).
Velocity has both magnitude (speed) and direction.
Acceleration is the rate of change of an object's velocity, measured in meters per second squared (m/s²).
Acceleration has both magnitude and direction.

Displacement And Distance

Displacement is the shortest distance between an object's initial and final positions, measured in meters (m).
Displacement is a vector quantity with both magnitude and direction.
Distance is the total length of the path traveled by an object, measured in meters (m).
Distance is a scalar quantity with only magnitude.

Types of Motion

Uniform motion occurs when an object's velocity remains constant.
In uniform motion, acceleration is zero.
In uniform motion, an object travels equal distances in equal time intervals.
Non-uniform motion occurs when an object's velocity changes.
In non-uniform motion, acceleration is not zero.
In non-uniform motion, an object travels different distances in equal time intervals.

Description

Learn about velocity and acceleration, including their definitions, measurements, and relationship. Understand how velocity and acceleration are related and how they are used to describe an object's motion.