- Graphing: Position Velocity. Acceleration
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1 Tes Wednesday, Jan 31 in 101 Clark Hall a 7PM Main Ideas in Class Today - Graphing: Posiion Velociy v avg = x f f x i i a avg = v f f v i i Acceleraion Pracice ess & key online. Tes over maerial up o secion 3.2. Pracice Problems: 2.21, 2.25, 2.27, 2.29, 2.31, 2.37, 2.39, 2.43, Muliple Choice 2.7, Concepual Problem 2.9
2 Graphing Posiion, Velociy and Acceleraion y axis = posiion, velociy or acceleraion + You will do hands on graphing work in lab Dependen variable (hing you measure) Independen variable (hing you conrol) x axis = Time (s)
3 Posiion Time Graphs Summarized downward (\)
4 This curve represens he posiion versus ime. Do we know anyhing abou he direcion(s) of moion over he shown ime period? Posiion A: The objec changes direcion once. B: The objec changes direcion wice. Time (s) C: The objec changes direcions hree imes. D: The objec changes direcions four imes. E: The objec does no change direcion. Q04
5 Graphing The blue line shows he posiion of a person a differen imes. When do hey go he fases? Calculae: (i) he velociy of he person as hey moves for 0 o 5 s (ii) Insananeous velociy a 3s (iii) 5 o 7 s (iv) 7 o 9 s (v) Average velociy 0 o 9 s (i) Velociy of he person as hey move from 0 o 5 s = Slope of OA = 0.6 m/s Does his velociy change over ha range? (iii) Velociy from 5 o 7 s = Slope of AB I s he same idea for = 0 m/s calculaing acceleraion from velociy graphs (iv) Velociy from 7 o 9 s = 2 m/s (v) Average velociy from 0 o 9 s= disance/ime=7m/9s=7/9 m/s
6 Noe: If you forge your clicker one day, you may wrie your answers on paper. I will ONLY look a he papers if i migh affec your leer grade a he end of he semeser. A. B. C. D. Q05
7 Velociy Time Graphs Summarized he slope of a velociy-ime graph is he acceleraion horizonal graph segmens indicae ha he objec has consan velociy graph segmens above he xxis imply movemen in he posiive direcion graph segmens below he xxis imply movemen in he negaive direcion horizonal segmens on he xxis indicae no movemen sraigh line graph segmens indicae consan acceleraion (--, / or \) graph segmens moving upward indicae an increase in velociy (/) graph segmens moving downward indicae a decrease in velociy (\) a change of direcion is indicaed whenever he graph crosses he xxis an increase in speed (magniude of velociy) is indicaed by graph segmens moving away from he xxis
8 Acceleraion Time Graphs Summarized horizonal graph segmens indicae ha he objec has consan acceleraion a horizonal graph segmen on he xxis indicaes ha he objec has consan velociy (zero acceleraion) graph segmens above he xxis imply increasing velociies graph segmens below he xxis imply decreasing velociies no changes in direcion may be inferred from hese graphs A he inroducory physics level, we ypically only deal wih consan acceleraion siuaions, so acceleraion graphs generally consis of horizonal segmens only.
9 An objec is speeding up uniformly in he posiive direcion. Which of he following represens his moion? A. +a B. +a C. +a D. +a Q06
10 An objec is speeding up uniformly in he negaive direcion. Which of he following represens his moion? A. +a B. +a C. +a D. +a Q07
11 2 exra clicker quesions
12 No a graphing quesion, bu he nex par will be This is a moion diagram of an objec moving along he x-direcion wih consan acceleraion. Saring wih 1, he dos 1, 2, 3, show he posiion of he objec a equal ime inervals x = 0 A he ime labeled 3, wha are he signs of he objec s velociy v x and acceleraion a x? A. v x < 0, a x = 0 B. v x < 0, a x > 0 C. v x < 0, a x < 0 D. v x > 0, a x > 0 +x E. v x > 0, a x < 0 Q08
13 This is a moion diagram of an objec moving along he x-direcion wih consan acceleraion. Saring wih 1, he dos 1, 2, 3, show he posiion of he objec a equal ime inervals. Q x = 0 Which of he following velociy versus ime graphs bes maches he moion shown in he moion diagram? v x v x v x v x +x v x 0 A. 0 B. 0 C. 0 D. 0 E.
14 Wha you learn from graphs? Type of graph Posiion vs Time Velociy vs Time Acceleraion vs Time Slope gives: Velociy Acceleraion Change of direcion A maximum or minimum When curve crosses axis --- Can deermine Inegraion (calculus) les you find he area under a curve (which does give informaion), bu we won be doing ha
15 Clicker Answers Chaper/Secion: Clicker #=Answer Ch.2A: 1=E, 2=E, 3=D Ch.2B: 4=D, 5=B, 6=C, 7=A, 8=C, 9=E
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