5 4 3 = 2 1 5) +3 9 18 6 16 3 = 3What’s +3 Your Headline? 6) 12 = –2 + 8 14 -10 -8 -6 -4 -2 2 4 6 8 10 -3 Name__________________________ -6 –8 –6 –2 –1 0 3 -2 -1 –51 2–3 3 4 –2 -9 -1 -12 -2 -3 -15 __________________________________ -4 -18 9 5 Ordered Pairs -5 -21 below. Determine the 4 point or ordered pair 6 10 0 2 8 Catalyst/Do Now 3 2 1 +2 -6 -5 -4 -3 -2 -1 -1 –1 0 1 2-2 -3 -4 -5 8) 1 2 =5 3 4 –10 4 3 2 1 11) 214. T (3,5)-1 304 6 4 -5 -4 -3 -2 -1 1 2 418 5 3 Solve the table-2 using the 16 function below. 3 14 -101)-8 (8,7) -6 -4 -2 ______ 2 4 6 8 10 -3 9) -6 2) (7, 7) -9______ –8 –6 –4 -12–2 3) A ______ -15 -18 -21 4) N (___,___) 10 12 Worksheets -5 -4 -3 [email protected] 1 2 3 4 5 15. U (9,12) -2 3 451 -3 Super Teacher Worksheets - www.superteacherworksheets.com -4 -5 -6 09.17.19 2 -18 -16 -14 -12 -10 -85)-6 (12, -4 -2 10) 2______ -10 = –1 + 2 8) = 5 -20 6) B (___,___) -30 2 -1 1 2 3 4 5 -40 -1 –2 –1 0 1 2 –10 –8 –6 –4 -50 point is -2 located at each ordered pair. -60 -3 ______ 2. (12,2) ______ 3. (8,7) ______ Determine the position of the object at 20 seconds. -70 -4 ______ 5. (7,7) ______ 6. (0,10) ______ -80 -5 Time (sec) Position (m) 10 4 ordered-6 pair for each given point. -90 3 08. L ____________10 -18 -16 -14 -12 -10 -8 -6 -4 -2 __________ 9. J ____________ 2 -10 __________ 11. B ____________ 12. E ____________ 1 -20 1 157 llowing points on the coordinate grid. –4 Period________ –2 0 2 4 10 =4 –4 8 6 –7 –6 –5 –4 4–3 2 -5 -4 -3 -2 -1 -2 1 2 3 4 5 8 4 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 9) = 4 – -44 -8 -12 –2 –7 –6 –5 -16 -20 Graph the information -24 from the -28 –4 table above. 8 4 -32 2 -30 -40 -50 -60 -70 -80 -90 –3 -9 -8 -7 -6 -5 -4 -3 -2 -1 -4 -8 -12 -16 -20 -24 -28 1 -32 Use the graph and dot diagram to answer the following questions. ntable Math Worksheets @ www.mathworksheets4kids.com 1. Calculate the acceleration of the object during the first three seconds. _______ 2. What is the total distance traveled by the object during the 5 seconds? Determine the average velocity for both objects when t=4 and t=7 The top object: _________ 3. Draw a motion diagram of the The bottom object: motion below. l---------l---------l---------l---------l---------l Mr. Harrington – [email protected] 1 What’s Your Headline? Name ________________________________________________________ ________________________________________________________ Name Name__________________________ Lesson 14 14 Assessment Assessment Lesson Date____________________ Date____________________ Period________ 09.17.19 Exit Ticket The graphs graphs above above represent represent the the position position and and the the velocity velocity of of aa ball ball as as itit rolls rolls down down an an inclined inclined plane. plane. The The graphs above represent the position and the velocity of a ball as it rolls down an inclined plane. Describe the motion of the of ball inball words. What is the average speed for the ball from 0-30 a) Describe Describe the motion motion of the ball in words. words. a) the the in seconds? b) What What isis the the average average speed speed for for the the ball ball for for the the time time interval interval 0-30 0-30 seconds? seconds? b) c) What What isis the the speed speed of of the the ball ball at at 10 10 seconds? seconds? How How did did you you get get your your answer? answer? c) d) What What isis the the acceleration acceleration of of the the ball ball during during the the first first 55 seconds? seconds? During During the the first first 10 10 seconds? seconds? d) e) Write Write aa function function v(t) v(t) for for the the motion motion represented represented in in the the velocity velocity versus versus time time graph. graph. e) How fast fast isis the the ball ball travelling travelling after after one one minute? minute? f)f) How What is the speed of the ball at 10 seconds? How did What is the acceleration of the ball during the first 5 you get your answer? seconds? First 10 seconds? Write a function v(t) for the motion represented in the velocity vs time graph. Mr. Harrington – [email protected] How fast is the ball traveling after one minute? 2 What’s Your Headline? Name__________________________ Homework Period________ 09.17.19 Monday Re-Cap epresent and Reason aph below records the position versus time for an object. The graph below shows the distance vs time for an object. Describe the motion in words. ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ! e the motion objectdiagram in words. Createofa the motion for this situation. a motion diagram l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l---------l what time interval(s) is the object accelerating? Place the correct time interval next to the correct description. what time interval(s) is the object at rest? When is the object accelerating? ______________ What is the average velocity of the object at the following time intervals? 0-5s ______________ what time interval(s) is the object traveling at constant velocity? 10-20s ______________ When is the object at rest? ______________ 30-40s ______________ the average velocity for the following time intervals: When is the object traveling at a constant velocity? 0-40s ______________ ______________ 0-10 s, 10-20 s, 30-40 s, and 0-50 s? e velocity versus time graph for this object. Mr. Harrington – [email protected] PUM | Kinematics | Lesson!14:!Putting!It!All!Together © Copyright 2014, Rutgers, The State University of New Jersey. 67 3 What’s Your Headline? Name__________________________ Mr. Harrington – [email protected] Period________ 09.17.19 4 What’s Your Headline? Name__________________________ Lesson 14: Putting it and explain all Together Reason and Explain ow records the position versus time for an object. The graph below shows the distance vs time for an object. 09.17.19 Describe the motion in words. Position vs. Time Position (cm) Period________ ________________________________ 70 ________________________________ 60 ________________________________ 50 ________________________________ 40 30 ________________________________ 20 ________________________________ 10 ________________________________ 0 0 10 20 30 40 50 60 ________________________________ Time (s) Place the correct time interval next to the correct ibe the motion in words. description. ________________________________ What is the average velocity of the object at the following time intervals? g what time interval(s) is the object at rest? When is the object accelerating? ______________ 0-10s ______________ g what time interval(s) is the object traveling at constant velocity? 10-20s ______________ g what time is the accelerating? Wheninterval(s) is the object at object rest? ______________ 30-40s ______________ is the average for the following intervals: When isvelocity the object traveling at a time constant velocity? 40-50s ______________ 0-10 s, 10-20 s, 30-40 s, 40-50 s, and 50-60 s? ______________ 50-60s______________ is the average velocity for the first 40 seconds? is the average velocity for the first 50 seconds? Find the average velocity for each interval (use your scratch paper). is the average velocity for the first 60 seconds? (g)The first 40 seconds (h)The first 50 seconds The first 60 seconds object is at rest after 40 seconds, why is the average velocity different for part (g) and part (h)? If the object is at rest after 40 seconds, why is the average velocity different for part (g) and part (h)? UM | Kinematics | Lesson 14: Putting it all Together apted fromMr. A. Van Heuvelen– and E. Etkina, Active Learning Guide, Addison Wesley, San Francisco, 2006 Harrington [email protected] Copyright 2008, Rutgers, The State University of New Jersey. 5 What’s Your Headline? Name__________________________ If you have a motion detector, use it and your own motion to create a graph that matches the one above. Discuss why you were or were not able to reproduce this exact graph. Period________ 09.17.19 Reason and Explain 2.0 14.2 Represent andbelow Reasonshows the distance vs time for an object. The graph Describe the motion in words. ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ! Describe the motion in words. Place the correct time interval next to the correct description. Create a motion diagram for this situation What is the velocity of the object at the following clock readings? When is the object accelerating? ______________ During what time is the acceleration object accelerating? Acceleration zero? Object10s at rest? Traveling at When isinterval(s) the object’s is zero? _______ constant velocity? 15s _______ ______________ What is When the velocity of the objectat at rest? the following clock readings? Explain how you is the object ______________ 45sknow. _______ 55s _______ 10 s, 15 s, 20 s, 25 s, 45 s, and 55 s? When is the object traveling at a constant velocity? Calculate the acceleration of the object for the following time intervals: ______________ 0-10 s, 10-20s, 20-40 s, 40-50 s, and 50-60 s. Calculate the acceleration of the object at the following time intervals (use scratch paper): 0-10s 10-20s 20-40s 40-50s 50-60s M | Kinematics | Lesson!14:!Putting!It!All!Together opyright 2014, Rutgers, The State University of New Jersey. Mr. Harrington – [email protected] 6 What’s Your Headline? Name__________________________ Homework Period________ 09.17.19 Practice ice below records the position versus time for an object. The graph below shows the distance vs time for an object. Describe the motion in words. Position (cm) Position vs. Time ________________________________ 120 ________________________________ 100 ________________________________ 80 ________________________________ 60 ________________________________ 40 ________________________________ 20 ________________________________ 0 0 10 20 30 40 50 Time (s) ________________________________ ________________________________ cribe the motion the object words. next to the correct Place theof correct timeininterval description. ing what time interval(s) is the object accelerating? What is the average velocity of the object at the following time intervals? When the object accelerating? ______________ ing what time is interval(s) is the object at rest? 0-10s ______________ ing what time interval(s) is the object traveling at constant velocity?10-20s ______________ When is the object at rest? ______________ at is the average velocity for the following time intervals: 30-40s ______________ is the objects,traveling 0-10When s, 10-20 s, 30-40 and 40-50ats?a constant velocity? 40-50s ______________ ______________ w the velocity versus time graph for this object. PUM | Kinematics | Lesson 14: Putting it all Together Adapted from A. Van Heuvelen and E. Etkina, Active Learning Guide, Addison Wesley, San Francisco, 2006 © Copyright 2008, Rutgers, The State University of New Jersey. Mr. Harrington – [email protected] 7 What’s Your Headline? Name__________________________ Period________ 09.17.19 Practice 2.0 e ow records the velocity versus time for the object in activity 14.1. The graph below shows the distance vs time for an object. Describe the motion in words. Velocity (cm/s) Velocity vs. Time ________________________________ ________________________________ 4.5 4 3.5 3 2.5 2 1.5 1 0.5 0 ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ 0 10 20 30 40 50 60 ________________________________ Time (s) g what time interval(s) is the object accelerating? Place the correct time interval next to the correct g what time interval(s) is the acceleration zero? description. ________________________________ What is the velocity of the object at the following clock readings? g what time interval(s) is the object at rest? When is the object accelerating? ______________ 10s _______ g what time interval(s) is the object traveling at constant velocity? When is the object’s acceleration is zero? 25s _______ is the velocity of the object at the following clock readings: ______________ 55s _______ 10 s, 15 s, 20 s, 25 s, 45 s, and 55 s? Explain how you know. 15s _______ 45s _______ is the object at rest?for ______________ late the When acceleration of the object the following time intervals: object at a constant velocity? 0-20 s,When 20-40iss,the and 40-60traveling s. the function v(t) for the time interval 0-20 s. ______________ Calculate the acceleration of the object at the following time intervals (use scratch paper): 0-20s 20-40 40-60s Write the function v(t) for the time interval 0-20s. Mr. Harrington – [email protected] PUM | Kinematics | Lesson 14: Putting it all Together 49 8