UNIT #1 KINEMATICS Acceleration

Acceleration

� acceleration = how quickly an object’s velocity changes over time

� = the rate of change of velocity ex: What is the average acceleration

of a person who increases his velocity from 0 to 25m/s in 10s?

� recall... � straight line on position-time graph = uniform motion � curved line on position-time graph = NON-uniform motion

Velocity-Time Graphs

- + [BKWD] [FWD]

1. type of graph 2. numbers 3. slope

Velocity-Time Graph

- + [BKWD] [FWD]

1. type of graph 2. numbers 3. slope

Velocity-Time Graph

- + [BKWD] [FWD]

1. type of graph 2. numbers 3. slope

Velocity-Time Graphs

Area Under Velocity-Time Graph

� distance = how far you have walked (total) � displacement = how far you are from where

you started...requires DIRECTION

Al AZ

dist =AitAz

Phantom

t.com#x3ift4nsHis=24mCLXt4nc/DBB §dIs}E2⇒+un[D

= 24m[ D -

4m*20K¥

Acceleration

o

25m/sED 30Mt 'D 35^6 :[D

5ngx6s=30m1s[ ET20m1s[E]t30n1sGI50mls[]

Sample Problems

16.05 8.05Omls Omls27.8 Mls 27.8ns

a=Vz - V , q=27-8mion Os= 27.8mA -0mA -27.8nA ibo D= 3.5%2

6.05as 1.74%2

Sample Problems

V ,. 5.6Mt a .ve - V ,

Vz= 1 .8m/s Tt

At=Z8s '- 1.8 ; -5.6mg

a ÷3.8M¥

os

A = -0.14 Mls '

SPH3U – UNIT 1 KINEMATICS Comparing Graphs of Linear Motion

LINEAR MOTION

| Motion along a straight line

| Can be described mathematically using only 1 dimension. ( in the x-direction, in the y-direction, North, East, etc.)

| Also called rectilinear motion (Rectilinear propogation of light in Gr. 10 optics)

POSITION-TIME GRAPH (CONSTANT VELOCITY)

| A graph describing the motion of an object, with position on the vertical axis and time on the horizontal axis

| The slope of a position-time graph gives the velocity of the object

POSITION-TIME GRAPH (UNIFORM ACCELERATION)

| Instantaneous velocity of an object is its velocity at a specific instant in time. It is equal to the slope of the tangent to the position-time graph at that instant in time

VELOCITY-TIME GRAPH

| A graph describing the motion of an object, with velocity on the vertical axis and time on the horizontal axis

| The slope of a velocity-time graph gives the average acceleration of an object

| The area under a velocity-time graph gives the displacement of the object whose motion it describes

VELOCITY-TIME GRAPH a. .b÷iYt¥

8m

:m[

Singha3s

Rpd = 64¥s

= 2m/s/s[ STMI £=2m=[s]±F . t.es .

t.ru#esrdItskseverylse

ACCELERATION-TIME GRAPH

| A graph describing the motion of an object with acceleration on the vertical axis and time on the horizontal axis

| The area under an acceleration-time graph represents the change in velocity of an object.

Astwoxaonst

=2oo;# \*¥X= 20.0 mlscd

RELATIONSHIPS BETWEEN LINEAR MOTION GRAPHS

| Given one type of motion graph, you can read or calculate data from it in order to construct a different type of graph

RELATIONSHIPS BETWEEN LINEAR MOTION GRAPHS

✓

=✓

Homework

� READ 1.3 if you haven’t already done so � Complete worksheet � p. 30 #4-10 � Read 1.4

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