Motion in a Straight Line

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6 Questions

What is the term for the distance an object travels from its initial to its final position?

Displacement

What is the rate of change of distance with time?

Speed

What is the equation of motion that describes the relationship between velocity, initial velocity, acceleration, and time?

v = u + at

What type of motion is characterized by a constant velocity?

Uniform Motion

What does a curved line on a distance-time graph indicate?

Non-uniform motion

What is the term for the rate of change of displacement with time?

Velocity

Study Notes

Motion in a Straight Line

Definition

  • Motion in a straight line is also known as rectilinear motion
  • It occurs when an object moves in a single direction along a straight line

Key Concepts

  • Displacement: The distance an object travels from its initial to its final position
  • Distance: The total length of the path traveled by an object
  • Speed: The rate of change of distance with time
  • Velocity: The rate of change of displacement with time

Kinematic Equations

  • v = u + at: The equation of motion, where:
    • v = final velocity
    • u = initial velocity
    • a = acceleration
    • t = time
  • s = ut + (1/2)at^2: The equation of motion, where:
    • s = displacement
    • u = initial velocity
    • a = acceleration
    • t = time

Graphical Analysis

  • Distance-Time Graphs:
    • A straight line indicates uniform motion
    • A curved line indicates non-uniform motion
  • Velocity-Time Graphs:
    • A straight line indicates uniform acceleration
    • A curved line indicates non-uniform acceleration

Types of Motion

  • Uniform Motion: An object moves with a constant velocity
  • Non-Uniform Motion: An object moves with a changing velocity
  • Accelerated Motion: An object moves with a changing velocity, resulting in acceleration

Motion in a Straight Line

Definition and Types of Motion

  • Motion in a straight line, also known as rectilinear motion, occurs when an object moves in a single direction along a straight line
  • Types of motion include Uniform Motion, Non-Uniform Motion, and Accelerated Motion

Key Concepts

  • Displacement: the distance an object travels from its initial to its final position
  • Distance: the total length of the path traveled by an object
  • Speed: the rate of change of distance with time
  • Velocity: the rate of change of displacement with time

Kinematic Equations

  • v = u + at: the equation of motion, relating final velocity, initial velocity, acceleration, and time
  • s = ut + (1/2)at^2: the equation of motion, relating displacement, initial velocity, acceleration, and time

Graphical Analysis

  • Distance-Time Graphs: • A straight line indicates uniform motion • A curved line indicates non-uniform motion
  • Velocity-Time Graphs: • A straight line indicates uniform acceleration • A curved line indicates non-uniform acceleration

Learn about motion in a straight line, also known as rectilinear motion, and explore key concepts such as displacement, distance, speed, and velocity.

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