# Chapter 2. Kinematics in One Dimension. Kinematics deals with the concepts that are needed to describe motion.

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1 Chpe Kinemic in One Dimenin Kinemic del wih he cncep h e needed decibe min. Dynmic del wih he effec h fce he n min. Tgehe, kinemic nd dynmic fm he bnch f phyic knwn Mechnic.. Diplcemen. Diplcemen.0 m 5.0 m 7.0 m iniil piin finl piin diplcemen 7.0 m.0 m 5.0 m

2 . Diplcemen. Diplcemen.0 m 5.0 m.0 m 5.0 m 7.0 m 7.0 m.0 m 7.0 m 5.0 m (.0) m 7.0 m 5.0 m. Speed nd Velciy. Speed nd Velciy Aege peed i he dince eled diided by he ime equied ce he dince. Aege peed Dince Elped ime SI uni f peed: mee pe ecnd (m/) Emple Dince Run by Jgge Hw f de jgge un in.5 hu (5400 ) if hi ege peed i. m/? Aege peed Dince Elped ime ( Aege peed)( Elped ime) (. m )( 5400 ) 000 m Dince

3 . Speed nd Velciy Aege elciy i he diplcemen diided by he elped ime. Diplcemen Aege elciy Elped ime. Speed nd Velciy Emple The Wld Fe Je-Engine C Andy Geen in he c ThuSSC e wld ecd f 34. m/ in 997. T eblih uch ecd, he die mke w un hugh he cue, ne in ech diecin, nullify wind effec. Fm he d, deemine he ege elciy f ech un.. Speed nd Velciy. Speed nd Velciy m m The innneu elciy indice hw f he c me nd he diecin f min ech inn f ime. 609 m 34.7 m lim 0

4 .3 Accelein.3 Accelein The nin f ccelein emege when chnge in elciy i cmbined wih he ime duing which he chnge ccu. DEFINITION OF AVERAGE ACCELERATION.3 Accelein.3 Accelein Emple 3 Accelein nd Inceing Velciy Deemine he ege ccelein f he plne. 0m 60 km h km h 0km h km h

5 .3 Accelein Emple 3 Accelein nd Deceing Velciy.3 Accelein 3m 8m 5.0 m 9.4 Equin f Kinemic f Cnn Accelein.4 Equin f Kinemic f Cnn Accelein Le he bjec be he igin when he clck. 0 0 I i cumy dipene wih he ue f bldfce ymbl edwn wih w f he diplcemen, elciy, nd ccelein ec. We will, hwee, cninue cney he diecin wih plu minu ign. ( + )

6 .4 Equin f Kinemic f Cnn Accelein.4 Equin f Kinemic f Cnn Accelein Fie kinemic ible:. diplcemen,. ccelein (cnn), 3. finl elciy ( ime ), + 4. iniil elciy, 5. elped ime,.4 Equin f Kinemic f Cnn Accelein.4 Equin f Kinemic f Cnn Accelein + ( + ) ( + ) ( 6.0 m )( 8.0 ) + (.0 m )( 8.0 ) + 0 m

7 .4 Equin f Kinemic f Cnn Accelein.4 Equin f Kinemic f Cnn Accelein Emple 6 Cpuling Je ( ) ( ) ( ) + + Find i diplcemen. 0m?? +3m +6 m.4 Equin f Kinemic f Cnn Accelein.4 Equin f Kinemic f Cnn Accelein Equin f Kinemic f Cnn Accelein + ( + ) ( 6 m ) ( 0 m ) ( ) 3m + 6 m + +

8 .5 Applicin f he Equin f Kinemic Rening Segy. Mke dwing.. Decide which diecin e be clled piie (+) nd negie (-). 3. Wie dwn he lue h e gien f ny f he fie kinemic ible. 4. Veify h he infmin cnin lue f le hee f he fie kinemic ible. Selec he pppie equin. 5. When he min i diided in egmen, emembe h he finl elciy f ne egmen i he iniil elciy f he ne. 6. Keep in mind h hee my be w pible nwe kinemic pblem..5 Applicin f he Equin f Kinemic Emple 8 An Acceleing Spcecf A pcecf i eling wih elciy f +350 m/. Suddenly he ecke e fied, nd he pcecf begin lw dwn wih n ccelein whe mgniude i 0.0 m/. Wh i he elciy f he pcecf when he diplcemen f he cf i +5 km, elie he pin whee he ecke begn fiing? m -0.0 m/? +350 m/.5 Applicin f he Equin f Kinemic.5 Applicin f he Equin f Kinemic m -0.0 m/? +350 m/ + + ± ± 500 m ( 350m ) + ( 0.0 m )( 5000 m)

9 .6 Feely Flling Bdie.6 Feely Flling Bdie In he bence f i eince, i i fund h ll bdie he me lcin be he Eh fll eiclly wih he me ccelein. If he dince f he fll i mll cmped he diu f he Eh, hen he ccelein emin eenilly cnn hughu he decen. g 9.80m Thi idelized min i clled fee-fll nd he ccelein f feely flling bdy i clled he ccelein due giy. g 9.80 m 3. f.6 Feely Flling Bdie.6 Feely Flling Bdie Emple 0 A Flling Sne A ne i dpped fm he p f ll building. Afe 3.00 f fee fll, wh i he diplcemen y f he ne? y? m/ 0 m/ 3.00

10 .6 Feely Flling Bdie y? m/ 0 m/ 3.00 y + ( 0 m )( 3.00 ) + ( 9.80m )( 3.00 ) 44.m.6 Feely Flling Bdie Emple Hw High De i G? The efeee e he cin up wih n iniil peed f 5.00m/. In he bence if i eince, hw high de he cin g be i pin f elee?.6 Feely Flling Bdie.6 Feely Flling Bdie y? m/ 0 m/ m/ + y y y? m/ 0 m/ m/ y ( 0m ) ( 5.00m ) ( 9.80m ).8 m

11 .6 Feely Flling Bdie.6 Feely Flling Bdie Cncepul Emple 4 Accelein Veu Velciy Thee e hee p he min f he cin. On he wy up, he cin h ec elciy h i dieced upwd nd h deceing mgniude. A he p f i ph, he cin mmenily h ze elciy. On he wy dwn, he cin h dwnwd-pining elciy wih n inceing mgniude. Cncepul Emple 5 Tking Adnge f Symmey De he pelle in p b ike he gund beneh he cliff wih mlle, gee, he me peed he pelle in p? In he bence f i eince, de he ccelein f he cin, like he elciy, chnge fm ne p nhe?.7 Gphicl Anlyi f Velciy nd Accelein.7 Gphicl Anlyi f Velciy nd Accelein + 8 m Slpe + 4m

12 .7 Gphicl Anlyi f Velciy nd Accelein.7 Gphicl Anlyi f Velciy nd Accelein + m Slpe + 6m

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