# 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

### 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!

### Free-Fall

• v=v0-gt

• h-h0=v0t-gt2/2