warm-up pick up: a giancoli book far back left cabinet 1 of each paper at the front 3 equation...
TRANSCRIPT
![Page 1: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/1.jpg)
Warm-Up
• Pick up:• A Giancoli book• Far back left cabinet
• 1 of each paper at the front• 3 Equation Sheets• 1 Kinematics Multiple Choice• 1 Kinematics Free Response
• I will be absent Friday
![Page 2: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/2.jpg)
Kinematics: 1-D
![Page 3: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/3.jpg)
Today’s Problems
• Giancoli, Chapter 2
•5, 7, 9, 10, 11, 14, 17, 26, 37, 38, 39, 41, 44, 49, 51, 52, 53, 56
![Page 4: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/4.jpg)
Kinematics
• Kinematics• Study of motion
• 1-Dimensional• Horizontal (x) or Vertical (y)
• 2-Dimensional• Horizontal and Vertical simultaneously• Next time
![Page 5: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/5.jpg)
Linear Motion: Review• Distance• Length of the path travelled
• Displacement• Overall change in position
Displacement
Distance
![Page 6: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/6.jpg)
Linear Motion: Review
• Speed• Based on distance
• Velocity• Based on displacement• What happens if you travel in a complete circle?• Velocity = 0
![Page 7: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/7.jpg)
Linear Motion: Velocity
• Remember:
v = x t
• Where• v is velocity• x is displacement• t is time
• Unit• m/s
![Page 8: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/8.jpg)
Linear Motion Example
(#5, pg. 42)
• You are driving home from school steadily at 65 mph for 130 miles. It then begins to rain and you slow to 55 mph. You arrive home after driving 3 hours and 20 minutes.
• a. How far is you hometown from school?• 203 miles
• b. What was your average speed?• 62 mi/h
![Page 9: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/9.jpg)
Linear Motion Practice
• #7• #9• #10• #11
![Page 10: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/10.jpg)
Linear Motion Check
• #7• a. 4.29 m/s• b. 0
• #9• 2.7 min
• #10• 4.43 h• 881 km/h
• #11• 55 km/h• 0
![Page 11: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/11.jpg)
Linear Motion: Acceleration
a = Δv = vf – vi
t t
• Where• a is acceleration• vf is final velocity
• vi is initial velocity• t is time
• Unit• m/s2 or m/s/s
![Page 12: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/12.jpg)
Acceleration Practice• #14.
• Ans: 5.2 s
![Page 13: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/13.jpg)
Kinematics: 1-D
• 3 equations:
v = vo + at
x = xo + vot + ½at2
v2 = vo2 + 2a(x - xo)
• With constant acceleration• Like gravity
![Page 14: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/14.jpg)
Equation 1
v = vo + at
• Where• v is velocity• vo is initial velocity• a is acceleration• t is time
![Page 15: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/15.jpg)
Equation 1 Derivation
a = Δv = vf – vi
t t
![Page 16: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/16.jpg)
Equation 2
x = xo + vot + ½at2
• Where• x is displacement• xo is initial position
• vo is initial velocity• t is time• a is acceleration
![Page 17: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/17.jpg)
Equation 3
v2 = vo2 + 2a(x - xo)
• Where• v is velocity• vo is initial velocity• a is acceleration• x is displacement• xo is initial position
![Page 18: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/18.jpg)
Kinematics Summary
Equation Missing Variablev = vo + at x
x = xo + vot + ½at2 v
v2 = vo2 + 2a(x - xo) t
![Page 19: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/19.jpg)
Kinematics Example• #26
• Ans: a = -3.9 x 102 m/s2, a = 40 g
![Page 20: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/20.jpg)
Kinematics Example• #37
• Ans: t = 1.5 s
![Page 21: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/21.jpg)
Kinematics Practice
• #38• #41
![Page 22: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/22.jpg)
Kinematics Check
• #38• h = 13m
• #41• 5.22 s
![Page 23: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/23.jpg)
Kinematics Example• #44
• Ans: a. +/- 12.8 m/s, b. t = 0.735 s, 3.35 s, c. Up and down
![Page 24: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/24.jpg)
Kinematics Practice
• #49
![Page 25: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/25.jpg)
Kinematics Check
• #49• a. 5.33 s• b. 40.2 m/s• c. 89.7 m
![Page 26: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/26.jpg)
Kinematics and Graphs• Let’s examine a Velocity vs. Time graph:
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
5
10
15
Velocity vs Time
Time (s)
Velo
city
(m/s
)
![Page 27: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/27.jpg)
Graphs: Important Aspects
• Labels• Title• Axes Measurements and units
• Slope• Slope = Δy
Δx
• Area (under the curve)
![Page 28: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/28.jpg)
Velocity vs. Time: Slope
• Slope = Δy = v = m/s = acceleration Δx t s
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
5
10
15
Velocity vs Time
Time (s)
Velo
city
(m/s
)
![Page 29: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/29.jpg)
Velocity vs. Time: Area
• Area = ½ b h = (m/s) s = m = displacement
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
5
10
15
Displacment vs Time
Time (s)
Velo
city
(m/s
)
![Page 30: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/30.jpg)
Slope and Area
• These will be very useful throughout the year
• Slope• Vertical .
Horizontal• Divide the units
• Area• Base times height• Multiply the units
![Page 31: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/31.jpg)
Acceleration vs Time
0 10
1
Acceleration vs Time
Time (s)
Acce
lera
tion
(m/s
2)
AREA SLOPE
m/s2 * s = m/s m/s2 / s = m/s3
Velocity Not Useful
![Page 32: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/32.jpg)
Velocity vs Time
AREA SLOPE
m/s * s = m m/s / s = m/s2
Displacement Acceleration0 1
0
1
Velocity vs Time
Time (s)
Velo
city
(m/s
)
![Page 33: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/33.jpg)
Displacement vs Time
AREA SLOPE
m * s = m*s m / s = m/s
Not Useful Velocity0 1
0
1
Displacement vs Time
Time (s)
Disp
lace
men
t (m
)
![Page 34: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/34.jpg)
Slope and Area SummaryGraph Area Slope
Acceleration (m/s2) vs Time (s) Velocity (m/s) Not Useful (m/s3)
Velocity (m/s) vs Time (s) Displacement (m) Acceleration (m/s2)
Displacement (m) vs Time (s) Not Useful (m*s) Velocity (m/s)
These are definitely not the only cases
Ex. Force vs. displacement
![Page 35: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/35.jpg)
Instantaneous vs. Average
• Displacement vs Time (x vs t) graph• Average velocity• v = Δx
t• x’s and t’s from graph
• Instantaneous velocity• Velocity at one particular time• Line tangent to that time
![Page 36: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/36.jpg)
Graphing Example• #39
![Page 37: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/37.jpg)
Graphing Example• #51
![Page 38: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/38.jpg)
Graphing Practice
• #52• #53• #56
![Page 39: Warm-Up Pick up: A Giancoli book Far back left cabinet 1 of each paper at the front 3 Equation Sheets 1 Kinematics Multiple Choice 1 Kinematics Free Response](https://reader034.vdocuments.us/reader034/viewer/2022051819/551ab0c4550346e0158b6292/html5/thumbnails/39.jpg)
Graphing Check• #52• a. t = 0 to 17 s• b. t = 28 s• c. t = 38 s• d. Both directions
• #53• a. t = 50 s• b. t = 90 s to 107 s• c. t = 0 to 20 s, and t = 90 to 107 s• d. t = 75 s
• #56• a. 1700 m• b. 500 m