Distance Time Velocity Gizmo Handout-2

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||||GizmosMarne:Cate:Student ExpIoration: Di stance-Time an d Velocity-Time Graph sDirections: Follow the instructions to go through the srnuiation. Respond to the questions andprompts in the orange bortes./NOTETO TEACHERS4AC STUDENTS: This fesson was designed es a foAtw-up fo the Distance-TimeGraces Gcmc. Wfereowrvnsidyxj ro.Tp'ere that aciiwSybefore this oneJVocabulary: displacement, distance traveed, slope, speed, velocityPrior Knowledge Questions (Do these BEFO?E using the Gzmo.}Dora runs one lap around tie track, finishing wnere she started. Clark runs a1ZOmeler dash along the straignt side of die track.ZJarziza an attire Zap armxd the trackrS'jItiESIE ter nr-nni-qn a CiitmiCE of +jtacompered to Clara's ICOmdittzcce. AsDora traveled a sreater distzrce than ClarkAJi-nouznEwa ran a further distance shearrived ar the sameposition sbe startedmakzis her Lave a displacement of Cm Onths other hand Clark moved UXtna from hisstart fire makinghumhate a displacement of+ - lC£m andthru Levins a greater changeinpositon.1.Which runner traveled agreater distance?2.'Mikih runner ha: agreater change inposition, start to finish?Gizmo Warm-upThe Distance-Tme Graphs Gizmo shows a dynamic graph of the position of a runner over time. TneDefence-Tine and Vebcily- Time Graphs Gizmo ndudes tnat same graph and adds two new ones: a velocityvs. time graph ard a distance traveled vs. time graph.The graph snown below (and in the Gizmo) shows a runner's position {ord stance from the starting lire) overtime. This is most commonly called a posrtian-fvne graph.II1"i4 iiCheck that tne Number of Points is 2. Turn an Show graph ardShowanimation for both Runner 1 ard Runner 2.1.Drag the points tn create the yaph shown to the right.•Runner Tsne i'thered one) should have endpoints at t'O, O'i and(4. 40).■Runner 2'sne (the blue one) should have endpo nts at {0, 40}and (4. 20}.RBVnd.d3Dfi Far K-ciic-oJjiao N yPubic i h a m g sr poitrt-- jrcNso-:. -Z ZC3U

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2.Click the : reen Start button on the stopwatch. Watch toe two rLnners carefiity. Ir what Mo ways are thenunners' motions a fferent?R j n n e r l initiates a u n i f o r m m o t i o n with a constant velocity of +1 Dm/s.. asevidenced by the grep n depicting a consistent increase in the distance betweenthe runner and the start line o v e r t i m e . Conversely, Runner 2 is moving tows rdsthe start line at a slower pace 'with a u n i f o r m motion o f - 5 m / s . The graphillustrates a Diminishing d i s t a n c e between Runner 2 and toe start line as timeprogresses, c o n f i r m i n g the slower pace. By calculating toe slopes for bothrunners and observing their constancy, it became evident that both weremaintaining a u n i f o r m m o t i o n .Activity A:Velocity-timegraphsGet toe Giznc reacy:■Click the red Reset button on toe stopwatch.-Change the Number of Points 1o 5.■Turn off Show graph ardShow animation forRunner 2.H-23—Speed is a measure of how fast an object moves, regard ess of direction. Speed can rever be negative.Velocity describes both speed and direction, ard can be positive ornegative.1.In toe Gizmo, make a position-time graph far Ru nner 1 with toefollow ng features:•Tnere is at least one major change in speed.-Tnere is at least one major change in direction .Cfck the green Start button and watch toe runrer Tin. Adjust yourgraph if needed to tree: the requ ’ements.Hand draw in tois space or dick here to select EDIT to use thedrawing tool. Sketch your graph to the right.2.VWiere was the runner each second? Sased on your graph, fill in all except die final column in the tablebelow. {Leave the velocity cdLmn dank for now.) Label any numbers with units.TimeP o s i t i o n at endof time interval(m)Distancemoved this timeinterval |m)To the left orright?Velocity thistime interval(mJs)0 -1 sec4DmE mRighttSCm's1 - 2sec3Dm’CmLeft-1Dmfe2 - 3 sec2Dm"CmLeft-1Drn|,s3 -4 sec3Dm10mRightt l & n ' suctDHci •c-cw'jc-rnu »orty. P-.b-fc afrin-a or faaatng prahtHM. — 2272 EapcraUavnrnj "Al riti rra~. K

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3.To calculate the velocity for each tmenterval, first calcu ate the speed of the turner in tnat interval (speed= distance + time). If the direction is left to right, velocity is positive. If the direction is r g h t l o left, velocity isreg alive.Fill in the velocity column of the tab e above. Use units (rrVs).Wren this runner is running to the left (negative velocity), what dies his position-time graph look like?As the ninner mores to the left, tne graph descends towards the x-axis.indicating a decrease in d stance from the starting line. Notably, when headingtowards the start line, the s lope of the graph b e c o m e s negative, in c o n t r a s t tothe positive slope when m o v i n g away from the start line. This negative slopealigns with the negative velocity, signifying m o v e m e n t to tne leftTneobservation that speed, represented by the slope, corresponds to tne velocity,which e n c o m p a s s e s bctn speed and direction, further emphasizes the l o g i c a lconsistency of the negative slope 'when the runner is headed towards tne startline.4.Slope is the steepnessOfa grach. To fird the slope of a line, divide the charge in y-vai ue (rise) by thechange inx-value (rim). Likevebcty, slope can be positive, zero, or negative.Fill in the s ope of each segment of your posilior-t me graph, along with tne runner's velocity during eachtime interva . in the taelebeew.Time i ntervalSlopeVelocity (mi's)0 sec - T sec+30+30ms1 sec - 7 sec-10-10m's2 sec - 3 sac-10-10m's3 sec - 4 sac+10+10m's5.Exam ne your velodtes and the position-time grajdnyoumade. Hovj is the slope of a positon-time grachrelated to the velocity of tne runner?Slope can give us the numeral value for velocity as shown above and 1he slope teingpositive or negat ve tells us if the velocry is positive or negative.

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