unit #1 kinematicsmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · unit #1...
TRANSCRIPT
![Page 1: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/1.jpg)
UNIT #1 KINEMATICS Acceleration
![Page 2: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/2.jpg)
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
![Page 3: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/3.jpg)
Velocity-Time Graphs
- + [BKWD] [FWD]
1. type of graph 2. numbers 3. slope
![Page 4: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/4.jpg)
Velocity-Time Graph
- + [BKWD] [FWD]
1. type of graph 2. numbers 3. slope
![Page 5: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/5.jpg)
Velocity-Time Graph
- + [BKWD] [FWD]
1. type of graph 2. numbers 3. slope
![Page 6: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/6.jpg)
Velocity-Time Graphs
![Page 7: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/7.jpg)
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¥
![Page 8: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/8.jpg)
Acceleration
o
25m/sED 30Mt 'D 35^6 :[D
5ngx6s=30m1s[ ET20m1s[E]t30n1sGI50mls[]
![Page 9: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/9.jpg)
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
![Page 10: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/10.jpg)
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 '
![Page 11: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/11.jpg)
SPH3U – UNIT 1 KINEMATICS Comparing Graphs of Linear Motion
![Page 12: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/12.jpg)
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)
![Page 13: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/13.jpg)
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
![Page 14: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/14.jpg)
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
![Page 15: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/15.jpg)
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
![Page 16: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/16.jpg)
VELOCITY-TIME GRAPH a. .b÷iYt¥
8m
:m[
Singha3s
Rpd = 64¥s
= 2m/s/s[ STMI £=2m=[s]±F . t.es .
t.ru#esrdItskseverylse
![Page 17: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/17.jpg)
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
![Page 18: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/18.jpg)
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
![Page 19: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/19.jpg)
RELATIONSHIPS BETWEEN LINEAR MOTION GRAPHS
✓
=✓
![Page 20: UNIT #1 KINEMATICSmrneave.weebly.com/uploads/1/3/5/9/13590915/sph3u_feb16_2016.… · UNIT #1 KINEMATICS Acceleration . Acceleration acceleration = how quickly an object’s velocity](https://reader033.vdocuments.mx/reader033/viewer/2022042605/5f52a078bfc7982e5e5dcf01/html5/thumbnails/20.jpg)
Homework
� READ 1.3 if you haven’t already done so � Complete worksheet � p. 30 #4-10 � Read 1.4
msn.IE#ooa-*ea%eBs