Chapter 2 motion in one dimension
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Chapter 2: Motion in One Dimension. Introduction. Motion along a straight line Motion Position and Displacement Average velocity and average speed Instantaneous velocity and speed Acceleration Constant acceleration: A special case Free fall acceleration.

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Chapter 2: Motion in One Dimension

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Chapter 2 motion in one dimension

Chapter 2: Motion in One Dimension


Introduction

Introduction

  • Motion along a straight line

    • Motion

    • Position and Displacement

    • Average velocity and average speed

    • Instantaneous velocity and speed

    • Acceleration

    • Constant acceleration: A special case

    • Free fall acceleration


Motion along a straight line

Displacement is a vector quantity. It has both a direction and magnitude!

Motion Along a Straight Line

  • Everything moves!

  • Classification and comparison of motion  kinematics

  • Simplification

    • Motion along straight line

    • Forces cause motion

    • Moving object is a particle or moves like a particle

Displacement


Velocity

Velocity

  • Average velocity

  • Average speed

  • Instantaneous velocity


Acceleration

Average acceleration

Instantaneous acceleration

Constant acceleration

Acceleration


Sample problem 2 2

Sample Problem 2–2

An elevator is initially stationary, then moves upward (which we take the positive direction of x), and then stops. Plot v as a function of time.

  • x(t) curve for an upward moving elevator cab

  • v(t) curve for the cab. Note v = dx/dt!

  • a(t) curve for the cab. Note a =dv/dt!


Another look at constant acceleration

Another Look at Constant Acceleration

  • Integration of acceleration

  • Indefinite integral or anti–derivative

  • Constant of integration

You will learn about this in integral calculus!


Sample problem 2 7

Sample Problem 2-7


Free fall

Free-Fall

  • v=v0-gt

  • h-h0=v0t-gt2/2


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