University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2019
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30

Pages:

3
Author:

nesifenqof5i

t Name at A Date Pd Velocity Worksheet 2: Motion Maps and Velocity vs. Time Graphs . Sketch velocity vs time graphs and motion maps corresponding to the following descriptions of the motion of an object. 1 . A crab crawls away from a rock in the positive direction at a constant' (steady) speed. r Motion Map: 0m * ? ‘Q * — > - • S6 + time 2. A tourist is standing still. t Motion Map: 0m t + t- time % % 3 . A rollerblader skates in the neg iYSjiiiection at 5 /seconds, then stands still a ,stead ^ fbifSjseconds. Motion Map: I. 3 lo time + § 4. A different rollerblader moves in the positive direction at a steady speed for 10s, reverses . , direction at the same speed. ' ic Motion Map: 0m v — > «s 11 k x time + ©Modeling Workshop Project 2003 1 MPS 1.3 Geometric Properties-Velocity ws2 v2.1 & for an object whose motion produced the position vs time graphs Draw the velocity vs time graphs t shown below at left . cL ; . " i S * Its ___ t i i i i "i i i i j t i i i i i " i * j r * s r f A f t* t f * A t f * r * r W ;3 ;2 i i r~ T - <« - Time; Cs> t 1 ^ « •r ' - a V :: t I "1 I ^t i T • > ine» ** l U / » j ^ cL. tju & $ i ** * r t * A* f ** * r ;3 2 t * \ ; Ms) : / r T i I I y y - . t ... T- , I f M -- l X^CA -k Cc&u\ kiA,( r f' /S ~i i t •I i i t L i J . t. w .. ** y * . yyy yyJ y y CD y ; 1 * © .• ;2 I y y y y / y y yyly y / y y y ;3 1 i y T 1' y -2: y y y y y y y Timers) r I I i •r ^4 ! I l y y I J t J i L Time (s> 8 . For many graphs, both the slope of the line and the area between the line and the horizontal axis have physical meanings. a. What does the slope of a position-time graph tell you about the motion of an object? , C „ .. J \j PPUC rr : uti/ l b. Looking at the velocity time graphs, determine the Fh =. WS tof - r \f d b c A its fox a square of area on the graph. 4JL fn — 5 D > 1 i 2A / • c. What does the area "under the velocity -time graph tell you about the motion of an object? 3 cct b C- ©Modeling Workshop Project 2003 l u cA hi tcJ - oYC4< / 2 t ~ ( pyi At CM ( '/ lOi -blTHA MPS 1.3 Geometric Properties-Velocity ws2 v2.1 J ^ 0 l 2 3 z> ^ < U/ CO n $WA'T ?p&dL XCJ /> 4 7 10 10 5 6 7 8 9 " .v'" N ^ T;":"'' (ii /: ni4- \ 3 / ^^ 1 V' M % i fi$1 *v 7 5 - i,- ; - L> - 7 m. t 2 S “ \ / , /1 ^ Tw / / 0 pf s b*e -' . - w y / Position (m) 0 2 4 cL - - 4 M 2>/$ / 9. From the position vs time data beiow, answer the following questions. .. i ' v/" cL i 0 c J 0 a. Construct a graph of position vs time and velocity vs time. , / A 4' - * “ “ < * . « 1 L * I I 4 J. «“ 1: * %/ “ -31 V E r "" “ i I L . t 1 "i ” r l -- 4 L 1 I “i _ r l U t I - £ tnI J £i J t . / © I pf « 5 T" ' l iy 1 1 I rtf ** " i - . i . • _ M f l 1~ - rrr tto i t » :: • • • •• •1 » X I i \ t i t 4 4 i U ! 1 a e I 1 l I 1 i i r f I I 1 I I « « X X 1 / * I -- i 1 l i V * r f -r - i _ i i * - u. i t > r 1 I I I i a l V I t I . U - i I 1 T J A L i i t ’i i < I i I i i 1 J„ I ! _—— I i r t 1 I I —, . • . 5 J* *SI - - -~ -i- i I t I I | i i t J t 1 . l * I 5 ( A) b. Draw a motion map for the object. I ii U / s » !. X I t L i U i A t l i t i J i zr v u I 1 t i t / i » I 1 r t J I r *i ~ “ r i r » rJ I i l / > f > i r IT 0 “ i 1 K . / I V 1 i I _ r > ..yv'S -- -1 i .r ~' ~ f i E: I '“ £ r ” I 1 U .t. » 1 i I i 1 J I - il L - - _ '4 « x 1 r” r I i i - > * r "i i c\ .J! r * W *I i J “ “ t " i“ J J i J l I ) 1 i 1 ~ "1 *U i * «» I I J J i I - I » ”•! H H U I t r - *1 I I -. >; I Sr-SK5*'! ® L, i r ~ "i ' I r i t f r i -- - i T U u I r I ' ( 0) «v:r: . -; » *fe :C O -n ff t Zos to 5fusing grailhB. 3 m X 2« c. Determine the displacement from t ^-( 3> / d —t A / - 5 X * Ptv 5 ^ 10 d. Determine the displacement from t = 7.0 s to 9.0 s tisihg aph B/; . s+ b x -5 ©Modeling Workshop Project 2003 ^ 5 / 3 fVL MPS 1.3 Geometric Properties-Velocity ws2 v2.1 7 6"" s