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Introduction (Day 0) 1-D Kinematic Motion.

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1 Introduction (Day 0) 1-D Kinematic Motion

2 How can I be successful in physics?
Day One Find your seat Introduction Syllabus Textbooks Homework and Lab Expectations Room tour Computer Etiquette and Sign-Out Complete the warm-up Math Assessment Chapter 2 Vocabulary Acceleration

3 How can I be successful in physics?
After Introduction Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart 3

4 What would happen if I drop this?
How can I be successful in physics? What would happen if I drop this? Physics I Mechanics Mr. Roe when he was 10

5 How can I be successful in physics?
Summary Ticket out the Door Write down 3 things that will help you be successful in physics. Homework Chapter 2 Vocabulary Acceleration

6 Day 1 1-D Kinematic Motion
UEQ: How can the motion of an object be described in a measurable and quantitative way? Day 1 1-D Kinematic Motion

7 †After Attendance (†EQ Sheet, Concept Map, & WebAssign)
How can the position of an object be measured and quantified? †After Attendance (†EQ Sheet, Concept Map, & WebAssign) Place HW on my desk †Pickup an Essential Question WS and a Translational Motion Concept Map Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it †Select the webassign link from plutonium-239.com Username: (first initial)(last name) ex. sroe Institution: cedarcliff.pa Password: ccphysics Logout and return the computer to the cart 7

8 Feed Back for Google Docs
Was anything confusing on google docs? Noteworthy Student Responses

9 Kinematics: Position EQ: How can the position of an object be measured and quantified? Start: Turn and tell partner where your house is, discuss where Pittsburgh is? 9

10 Units of 1-D Kinematic Motion
How can the motion of an object be described in a measurable and quantitative way? Units of 1-D Kinematic Motion Reference Frames and Displacement Average Velocity Instantaneous Velocity Acceleration Motion at Constant Acceleration Solving Problems Falling Objects Graphical Analysis of Linear Motion

11 Reference Frames and Displacement
How can the position of an object be measured and quantified? Reference Frames and Displacement Any measurement of position, distance, or speed must be made with respect to a reference frame. For example, if you are sitting on a train and someone walks down the aisle, their speed with respect to the train is a few miles per hour, at most. Their speed with respect to the ground is much higher.

12 Reference Frames and Displacement
How can the position of an object be measured and quantified? Reference Frames and Displacement We make a distinction between distance and displacement. Displacement (blue line) is how far the object is from its starting point, regardless of how it got there. Distance traveled (dashed line) is measured along the actual path.

13 Reference Frames and Displacement
How can the position of an object be measured and quantified? Reference Frames and Displacement The displacement is written: Left: Displacement is positive. Right: Displacement is negative.

14 Does a odometer measure distance traveled or displacement?
How can the position of an object be measured and quantified? Does a odometer measure distance traveled or displacement? Insert Picture of Jeff (aka. Cameron) here. Ferris Bueller’s Day off Ferrari (with 301 mi) through window.

15 Pasco EZMotion Graph Match
How can the position of an object be measured and quantified? Pasco EZMotion Graph Match

16 Pasco Position Match Lab (if we can get it to work:)
How can the position of an object be measured and quantified? Pasco Position Match Lab (if we can get it to work:) Work in groups of no more than 4 people. Return all supplies to the counter/cart. 16

17 How can the position of an object be measured and quantified?
Summary Ticket out the Door Why is having a frame of reference important? Provide an example problem and solution for position. HW: Position-Match Graph Lab (Questions and Conclusions) 17

18 Day 2 1-D Kinematic Motion

19 How can the velocity of an object be measured and quantified?
After Attendance Place HW on my desk Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart 19

20 Feed Back for Google Docs
Was anything confusing on google docs? Noteworthy Student Responses

21 Kinematics: Velocity EQ: How can the velocity of an object be measured and quantified? Start: Compare the motion of a turtle and a train. How do you know it is moving fast or slow? 21

22 How can the velocity of an object be measured and quantified?
The Turtle vs. The Train Can the turtle make it to the water before a train passes by (or hits it)?

23 How can the velocity of an object be measured and quantified?
Average Velocity Speed: how far an object travels in a given time interval (2-1) Velocity includes directional information:

24 Instantaneous Velocity
How can the velocity of an object be measured and quantified? Instantaneous Velocity The instantaneous velocity is the average velocity, in the limit as the time interval becomes infinitesimally short. (2-3) These graphs show (a) constant velocity and (b) varying velocity.

25 Pasco Position-Match Lab (if we can get it to work:)
How can the velocity of an object be measured and quantified? Pasco Position-Match Lab (if we can get it to work:) Work in groups of no more than 4 people. Return all supplies to the counter/cart. 25

26 How can the velocity of an object be measured and quantified?
WebAssign/Lab Time Work on WebAssign Problems or Position-Match Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 26

27 How can the velocity of an object be measured and quantified?
Summary Ticket out the Door Who was the best at matching the graph in your group? Provide an example problem and solution for velocity. HW: Position-Match Graph Lab (Questions and Conclusions) WebAssign Problems 27

28 Day 3 1-D Kinematic Motion

29 How can the acceleration of an object be measured and quantified?
After Attendance Place HW on my desk Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart 29

30 Feed Back for Google Docs
Was anything confusing on google docs? Noteworthy Student Responses

31 Kinematics: Acceleration
EQ: How can the acceleration of an object be measured and quantified? Start: How quickly can a Porsche 911 Turbo go from ? What about a Voxel Victor? 31

32 How can the acceleration of an object be measured and quantified?
Voxel Victor What is its acceleration? 2200 hp 0-60 in 1s!!!

33 How can the acceleration of an object be measured and quantified?
Acceleration is the rate of change of velocity.

34 How can the acceleration of an object be measured and quantified?
Acceleration is a vector (magnitude and direction), although in one-dimensional motion we only need the sign. The previous image shows positive acceleration; here is negative acceleration: How long will it take the car to stop? 7.5 s How fast will it be going after 10 s? 0 m/s; unless the driver put it in reverse.

35 How can the acceleration of an object be measured and quantified?
There is a difference between negative acceleration and deceleration: Negative acceleration is acceleration in the negative direction as defined by the coordinate system. Deceleration occurs when the acceleration is opposite in direction to the velocity.

36 Acceleration Direction Result: Speed Up or Slow Down?
How can the acceleration of an object be measured and quantified? Frame of Reference Velocity Direction Acceleration Direction Result: Speed Up or Slow Down? Left (+) Left (+) Speed Up Left (+) Right (-) Slow Down Right (-) Right (-) Speed Up Right (-) Left (+) Slow Down

37 Acceleration Direction Result: Speed Up or Slow Down?
How can the acceleration of an object be measured and quantified? Frame of Reference Velocity Direction Acceleration Direction Result: Speed Up or Slow Down? UP (+) UP (+) Speed Up UP (+) DOWN (-) Slow Down DOWN (-) DOWN (-) Speed Up DOWN (-) UP (+) Slow Down

38 How can the acceleration of an object be measured and quantified?
Is the car undergoing positive or negative acceleration? positive acceleration (velocity is in the negative direction!) Is the car accelerating or decelerating? decelerating If the following scenario takes place in 1 second, what is the car’s acceleration?

39 How can the acceleration of an object be measured and quantified?
Using the previous reference frame is the car undergoing positive or negative acceleration? Negative acceleration Is the car accelerating or decelerating? Accelerating What is the car’s velocity after 1 second if it is accelerating at -10m/s2?

40 How can the acceleration of an object be measured and quantified?
The instantaneous acceleration is the average acceleration, in the limit as the time interval becomes infinitesimally short. (2-5)

41 Calculus Applications of Motion
How can the acceleration of an object be measured and quantified? Calculus Applications of Motion For those who have or have had calculus: Velocity is the time derivative of position: Acceleration is the time derivative of velocity: The “jerk” function is the time derivative of acceleration: The change in jerk (known as the “marriage” or the “nagging spouse” function) is the time derivative of jerk: Finally, the change in the change in jerk (*only known as the “death” function) is the second time derivative of jerk: *Please note: Death is the only thing that can really change a jerk.

42 How can the acceleration of an object be measured and quantified?
How long will it take the car to stop? Find t2

43 Pasco Acceleration on an Inclined Track
How can the acceleration of an object be measured and quantified? Pasco Acceleration on an Inclined Track Work in groups of no more than 4 people. Return all supplies to the counter/cart. 43

44 How can the acceleration of an object be measured and quantified?
WebAssign/Lab Time Work on WebAssign Problems or Acceleration on an Inclined Track Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 44

45 How can the acceleration of an object be measured and quantified?
Summary 3-2-1 Will an object speed up or slow down if . . . (1) it has a positive velocity and a negative acceleration? (2) it has a negative velocity and a negative acceleration? (3) it has a negative velocity and a positive acceleration? Write down 2 thing you know about motion. Write down 1 question you have about motion HW: Acceleration on an Inclined Track Lab (Questions and Conclusions) WebAssign Problems 45

46 Day 3 1/2: Work Day 1-D Kinematic Motion

47 Day 4 1-D Kinematic Motion

48 How are position, velocity, acceleration, and time related?
After Attendance Place HW on my desk Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart 48

49 Feed Back for Google Docs
Was anything confusing on google docs? Noteworthy Student Responses

50 Kinematics: The Equations
EQ: How are position, velocity, acceleration, and time related? Start: How far does a Porsche 911 Turbo travel as it accelerates from ? Does it matter if it accelerates slower? 50

51 How are position, velocity, acceleration, and time related?
Mechanics Mechanics: the study of the motion of objects Kinematics - describes how objects move Dynamics – deals with force and explains why objects move

52 How are position, velocity, acceleration, and time related?
Translational Motion Translational Motion: Objects that move without rotating One Dimensional: Objects move in a straight line Forwards or Backwards (x-direction) Up or Down (y-direction); [Note: Gravitational acceleration applies] Two-Dimensional: Objects move in an arced path (ie. Like a basketball)

53 Motion at Constant Acceleration
How are position, velocity, acceleration, and time related? Motion at Constant Acceleration The average velocity of an object during a time interval t is The acceleration, assumed constant, is

54 Motion at Constant Acceleration
How are position, velocity, acceleration, and time related? Motion at Constant Acceleration In addition, as the velocity is increasing at a constant rate, we know that Combining these last three equations, we find: (2-8) (2-9)

55 Motion at Constant Acceleration
How are position, velocity, acceleration, and time related? Motion at Constant Acceleration We can also combine these equations so as to eliminate t: We now have all the equations we need to solve constant-acceleration problems. (2-10) (2-11a) (2-11e) (2-11b) * – (2-11c) (2-11d)

56 Kalculamatic Equation
How are position, velocity, acceleration, and time related? Kalculamatic Equation By starting with the equation: (2-11a) We can take the integral with respect to time to get: (2-11b) Of course, we could take the time derivative of 2-11b to derive 2-11a!

57 Problem Solving Strategies
How are position, velocity, acceleration, and time related? Problem Solving Strategies Read the whole problem and make sure you understand it. Then read it again. Decide on the objects under study. Write down the known (given) quantities, and then the unknown one(s) that you need to find. Draw a diagram and choose coordinate axes. What physics applies here? Plan an approach to a solution using the known and unknown quantities.

58 Problem Solving Strategies
How are position, velocity, acceleration, and time related? Problem Solving Strategies Which equations relate the known and unknown quantities? Are they valid in this situation? Solve algebraically for the unknown quantities and check that your result is sensible (correct dimensions). Calculate the solution by substituting known values (and units) and round it to the appropriate number of significant figures. Look at the result – is it reasonable? Does it agree with a rough estimate? Check the units again. Do you have them?

59 Pasco Acceleration on an Inclined Track
How are position, velocity, acceleration, and time related? Pasco Acceleration on an Inclined Track Work in groups of no more than 4 people. Return all supplies to the counter/cart. 59

60 How are position, velocity, acceleration, and time related?
WebAssign/Lab Time Work on WebAssign Problems or Acceleration on an Inclined Track Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 60

61 How are position, velocity, acceleration, and time related?
Summary Ticket out the Door If a Porsche 911 Turbo accelerates at a rate of 6.7 m/s2 from rest to 26.7 m/s, how far did it travel? If a Porsche 911 Turbo now accelerates at a rate of 3.35 m/s2 from rest to 26.7 m/s, how far did it travel? Does changing the rate of acceleration change the distance that it travels to reach the same speed? If so, how does it affect the distance traveled? HW: Acceleration on an Inclined Track (Questions and Conclusions) WebAssign Problems 61

62 Day 5 1-D Kinematic Motion

63 How are position, velocity, acceleration, and time related?
After Attendance Place HW on my desk Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart 63

64 Feed Back for Google Docs
Was anything confusing on google docs? Noteworthy Student Responses

65 Kinematics: The Equations
EQ: How are position, velocity, acceleration, and time related? Start: How can you calculate the height of a bridge without measuring the distance (or reading the sign)? 65

66 How are position, velocity, acceleration, and time related?
Rock Drop How high is the bridge?

67 How are position, velocity, acceleration, and time related?
Falling Objects Near the surface of the Earth, all objects experience approximately the same acceleration due to gravity. This is one of the most common examples of motion with constant acceleration.

68 How are position, velocity, acceleration, and time related?
Falling Objects Doin’ the Wolfman In the absence of air resistance, all objects fall with the same acceleration, although this may be hard to tell by testing in an environment where there is air resistance.

69 How are position, velocity, acceleration, and time related?
Falling Objects In the absence of air resistance, all objects fall with the same acceleration, although this may be hard to tell by testing in an environment where there is air resistance.

70 How are position, velocity, acceleration, and time related?
Falling Objects The acceleration due to gravity, g, at the Earth’s surface is approximately 9.80 m/s2.

71 Pasco Acceleration Due to Gravity
How are position, velocity, acceleration, and time related? Pasco Acceleration Due to Gravity Work in groups of no more than 4 people. Return all supplies to the counter/cart. 71

72 How are position, velocity, acceleration, and time related?
WebAssign/Lab Time Work on WebAssign Problems or Acceleration Due to Gravity Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 72

73 How are position, velocity, acceleration, and time related?
Summary Ticket out the Door If a rock is dropped off of a bridge and hits the water 6.24 s seconds later, how high is the bridge? HW: Acceleration Due to Gravity Lab (Questions and Conclusions) WebAssign 73

74 Day 8: The Graphs 1-D Kinematic Motion

75 How are position, velocity, acceleration, and time related?
After Attendance Place HW on my desk Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart 75

76 Feed Back for Google Docs
Was anything confusing on google docs? Noteworthy Student Responses

77 Kinematics: The Graphs
EQ: How are position, velocity, acceleration, and time related? Start: What does the graph of velocity vs. time look like if a Porsche 911 Turbo undergoes constant accelerates from ? What about the position vs. time graph? 77

78 Graphical Analysis of Linear Motion
How are position, velocity, acceleration, and time related? Graphical Analysis of Linear Motion This is a graph of x vs. t for an object moving with constant velocity. The velocity is the slope of the x-t curve.

79 Graphical Analysis of Linear Motion
How are position, velocity, acceleration, and time related? Graphical Analysis of Linear Motion On the left we have a graph of velocity vs. time for an object with varying velocity; on the right we have the resulting x vs. t curve. The instantaneous velocity is tangent to the curve at each point.

80 Graphical Analysis of Linear Motion
How are position, velocity, acceleration, and time related? Graphical Analysis of Linear Motion The displacement, x, is the area beneath the v vs. t curve. (Integrals) So, what is the area under the “curve”? Atriangle = 1/2 b h Atriangle = 1/2 (15 s) (15 m/s) = m Arectangle = b h Arectangle = (5 s) (15 m/s) = 75 m Atriangle = 1/2 b h Atriangle = 1/2 (5 s) (10 m/s) = 25 m Arectangle = b h Arectangle = (10 s) (5 m/s) = 50 m Atotal = m; What does it mean?

81 2-8 Graphical Analysis of Linear Motion
How are position, velocity, acceleration, and time related? 2-8 Graphical Analysis of Linear Motion So what does it MEAN?!?!? The area beneath the v vs. t curve Is the DISPLACEMENT, x!!. Does it match? xtotal = m Pretty close;) Atotal = m

82 AGAIN DISPLACEMENT, x!!. is the . . . Pretty Cool?
How are position, velocity, acceleration, and time related? 2-8 Graphical Analysis of Linear Motion So what does it MEAN?!?!? The AREA beneath the v vs. t curve AGAIN is the . . . DISPLACEMENT, x!!. Pretty Cool?

83 2-8 Graphical Analysis of Linear Motion
How are position, velocity, acceleration, and time related? 2-8 Graphical Analysis of Linear Motion On the left we have a graph of velocity vs. time for an object with varying velocity; It is interesting to note that the acceleration is the slope of the v-t curve. Negative acceleration Positive acceleration No acceleration xtotal = m No acceleration

84 Summary of Motion Graphs
How are position, velocity, acceleration, and time related? Summary of Motion Graphs Graph Slope Area Under the “Curve” x-t N/A v-t a-t velocity acceleration displacement velocity jerk

85 Pasco Acceleration Due to Gravity
How are position, velocity, acceleration, and time related? Pasco Acceleration Due to Gravity Work in groups of no more than 4 people. Return all supplies to the counter/cart. 85

86 How are position, velocity, acceleration, and time related?
WebAssign/Lab Time Work on WebAssign Problems or Acceleration Due to Gravity Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 86

87 How are position, velocity, acceleration, and time related?
Summary Ticket out the Door Using constant acceleration (a = 10 m/s2) sketch a graph of velocity vs. time (tf = 5 s). sketch a graph of position vs. time (tf = 5 s). HW: Acceleration Due to Gravity Lab (Questions and Conclusions) WebAssign Problems 87

88 Day 9: Summary/Work Day 1-D Kinematic Motion

89 After Attendance Place HW on my desk Pickup and sign out your computer
How can position/velocity/acceleration be measured and quantified? How are position, velocity, acceleration, and time related? After Attendance Place HW on my desk Pickup and sign out your computer Log into Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart 89

90 Feed Back for Google Docs
Was anything confusing on google docs? Noteworthy Student Responses

91 How can position/velocity/acceleration be measured and quantified?
How are position, velocity, acceleration, and time related? †WebAssign Final Copy Final - Definition 2: being the last in a series, process, or progress 3: of or relating to the ultimate purpose or result of a process Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) 91

92 †Kinematic Essential Questions
How can position/velocity/acceleration be measured and quantified? How are position, velocity, acceleration, and time related? †Kinematic Essential Questions How can the position of an object be measured and quantified? How can the velocity of an object be measured and quantified? How can the acceleration of an object be measured and quantified? How are position, velocity, acceleration, and time related? †Answer these before the test.

93 Summary of 1-D Kinematics
How can position/velocity/acceleration be measured and quantified? How are position, velocity, acceleration, and time related? Summary of 1-D Kinematics Kinematics is the description of how objects move with respect to a defined reference frame. Displacement is the change in position of an object. Average speed is the distance traveled divided by the time it took; average velocity is the displacement divided by the time. Instantaneous velocity is the limit as the time becomes infinitesimally short.

94 Summary of 1-D Kinematics
How can position/velocity/acceleration be measured and quantified? How are position, velocity, acceleration, and time related? Summary of 1-D Kinematics Average acceleration is the change in velocity divided by the time. Instantaneous acceleration is the limit as the time interval becomes infinitesimally small. The equations of motion for constant acceleration are given in the text; there are four, each one of which requires a different set of quantities. Objects falling (or having been projected) near the surface of the Earth experience a gravitational acceleration of 9.80 m/s2.

95 Pasco Acceleration Due to Gravity
How can position/velocity/acceleration be measured and quantified? How are position, velocity, acceleration, and time related? Pasco Acceleration Due to Gravity Work in groups of no more than 4 people. Return all supplies to the counter/cart. 95

96 †EQ/WebAssign/Lab Time
How can position/velocity/acceleration be measured and quantified? How are position, velocity, acceleration, and time related? †EQ/WebAssign/Lab Time †Answer the Essential Questions Work on WebAssign Problems or Acceleration Due to Gravity Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) 96

97 Summary Ticket out the Door HW:
How can position/velocity/acceleration be measured and quantified? How are position, velocity, acceleration, and time related? Summary Ticket out the Door Write down two questions and their answer for the test tomorrow and turn it in. One conceptual problem One mathematical problem HW: Answer the Essential Questions Acceleration Due to Gravity Lab (Questions and Conclusions) WebAssign Problems Web Assign Final Copy 97

98 Day 10: Work Day 1-D Kinematic Motion

99 Day 11: Test 1-D Kinematic Motion

100 UEQ: How can the motion of an object be described in a measurable and quantitative way?
†After Attendance Place HW on my desk (in Reverse Alphabetical Order): WebAssign Final Copy Essential Questions Laboratory Assignment(s) Pickup the following: Chapter 3 Vocabulary Acceleration Scantron Sheet Fill in the following on the scantron sheet front: Name: Write your name on it!! Subject: PIM Test: 1-D Kin Date: S10 Period: Block 2 100

101 †1-D Kinematics Test Test Corrections
UEQ: How can the motion of an object be described in a measurable and quantitative way? †1-D Kinematics Test Do not write on Part I (the scantron questions) Put your name on Part II and complete it Verify any corrections below that have made before submitting your test. Complete the Chapter 3 Vocabulary Acceleration Test Corrections Question

102 Summary Ticket out the Door HW: Turn in the 1-D Kinematics Test
UEQ: How can the motion of an object be described in a measurable and quantitative way? Summary Ticket out the Door Turn in the 1-D Kinematics Test HW: Chapter 3 Vocabulary Acceleration 102

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