Chapter 2 motion in one dimension
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Chapter 2: Motion in One Dimension PowerPoint PPT Presentation


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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


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


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

  • Average velocity

  • Average speed

  • Instantaneous velocity


Average acceleration

Instantaneous acceleration

Constant acceleration

Acceleration


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

  • Integration of acceleration

  • Indefinite integral or anti–derivative

  • Constant of integration

You will learn about this in integral calculus!


Sample Problem 2-7


Free-Fall

  • v=v0-gt

  • h-h0=v0t-gt2/2


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