Velocity vs Time graph in matlab

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Sandun on 19 Sep 2022
Answered: Sam Chak on 19 Sep 2022
Hello im new to matlab and i need to get the answers for below questions,
The velocity of a vehicle moving in a straight line is given by 30sin(710𝑡2)−2𝑡.
(1). Plot the speed for 5 seconds’ period (in Matlab, label all the axis).
(2). Using the graph obtain the time after that the direction of the vehicle becomes opposite (i.e., velocity becomes negative) and calculate the distance travel.
(3). Calculate the gap between the starting point and the point after 5 seconds.
(4). Plot the acceleration of the vehicle for 5 seconds’ period.
(5). Write down the Matlab function to obtain the vehicle acceleration, speed, and displacement at any given time. Assume that initial displacement is zero (at 𝑡=0).
  1 Comment
Star Strider
Star Strider on 19 Sep 2022
acceleration = gradient(velocity) ./ gradient(time)

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Answers (1)

Sam Chak
Sam Chak on 19 Sep 2022
I'm also new as to this kind of problem, with , strictly from the mathematical notation perspective.
I think item #1, you can use the plot function.
help plot
PLOT Linear plot. PLOT(X,Y) plots vector Y versus vector X. If X or Y is a matrix, then the vector is plotted versus the rows or columns of the matrix, whichever line up. If X is a scalar and Y is a vector, disconnected line objects are created and plotted as discrete points vertically at X. PLOT(Y) plots the columns of Y versus their index. If Y is complex, PLOT(Y) is equivalent to PLOT(real(Y),imag(Y)). In all other uses of PLOT, the imaginary part is ignored. Various line types, plot symbols and colors may be obtained with PLOT(X,Y,S) where S is a character string made from one element from any or all the following 3 columns: b blue . point - solid g green o circle : dotted r red x x-mark -. dashdot c cyan + plus -- dashed m magenta * star (none) no line y yellow s square k black d diamond w white v triangle (down) ^ triangle (up) < triangle (left) > triangle (right) p pentagram h hexagram For example, PLOT(X,Y,'c+:') plots a cyan dotted line with a plus at each data point; PLOT(X,Y,'bd') plots blue diamond at each data point but does not draw any line. PLOT(TBL,XVAR,YVAR) plots the variables xvar and yvar from the table tbl. To plot one data set, specify one variable for xvar and one variable for yvar. To plot multiple data sets, specify multiple variables for xvar, yvar, or both. If both arguments specify multiple variables, they must specify the same number of variables PLOT(TBL,YVAR) plots the specified variable from the table against the row indices in the table. If the table is a timetable, the specified variable is plotted against the row times from the timetable. PLOT(X1,Y1,S1,X2,Y2,S2,X3,Y3,S3,...) combines the plots defined by the (X,Y,S) triples, where the X's and Y's are vectors or matrices and the S's are strings. For example, PLOT(X,Y,'y-',X,Y,'go') plots the data twice, with a solid yellow line interpolating green circles at the data points. The PLOT command, if no color is specified, makes automatic use of the colors specified by the axes ColorOrder property. By default, PLOT cycles through the colors in the ColorOrder property. For monochrome systems, PLOT cycles over the axes LineStyleOrder property. Note that RGB colors in the ColorOrder property may differ from similarly-named colors in the (X,Y,S) triples. For example, the second axes ColorOrder property is medium green with RGB [0 .5 0], while PLOT(X,Y,'g') plots a green line with RGB [0 1 0]. If you do not specify a marker type, PLOT uses no marker. If you do not specify a line style, PLOT uses a solid line. PLOT(AX,...) plots into the axes with handle AX. PLOT returns a column vector of handles to lineseries objects, one handle per plotted line. The X,Y pairs, or X,Y,S triples, can be followed by parameter/value pairs to specify additional properties of the lines. For example, PLOT(X,Y,'LineWidth',2,'Color',[.6 0 0]) will create a plot with a dark red line width of 2 points. Example x = -pi:pi/10:pi; y = tan(sin(x)) - sin(tan(x)); plot(x,y,'--rs','LineWidth',2,... 'MarkerEdgeColor','k',... 'MarkerFaceColor','g',... 'MarkerSize',10) See also PLOTTOOLS, SEMILOGX, SEMILOGY, LOGLOG, PLOTYY, PLOT3, GRID, TITLE, XLABEL, YLABEL, AXIS, AXES, HOLD, LEGEND, SUBPLOT, SCATTER. Documentation for plot doc plot Other uses of plot alphaShape/plot antenna/plot backscatterBicyclist/plot backscatterPedestrian/plot Battery.Parameters/plot Battery.Pulse/plot Battery.PulseSequence/plot BayesianOptimization/plot blm/plot cfit/plot cgv.CGV/plot clusterDBSCAN.clusterDBSCAN/plot clustergram/plot clustering.evaluation.CalinskiHarabaszEvaluation/plot comm.CCDF/plot comm.MemorylessNonlinearity/plot conjugateblm/plot cuboidModel/plot customblm/plot cylinderModel/plot diffuseblm/plot digraph/plot driving.heremaps.LaneTopology/plot driving.Path/plot drivingScenario/plot dspdata/plot dtree/plot edwttree/plot empiricalblm/plot fairnessMetrics/plot fints/plot frd/plot graph/plot HeatMap/plot iddata/plot idnlarx/plot idnlhw/plot imageviewset/plot InflationCollisionChecker/plot KAZEPoints/plot lassoblm/plot LayerGraph/plot LeastSquaresResults/plot lime/plot LinearModel/plot matlab.buildtool.Plan/plot mixconjugateblm/plot mixsemiconjugateblm/plot mpc/plot MSERRegions/plot NLMEResults/plot ntree/plot opc.hda.Data/plot opticalFlow/plot parkingSpace/plot pathPlannerRRT/plot pcviewset/plot phased.FMCWWaveform/plot phased.LinearFMWaveform/plot phased.MFSKWaveform/plot phased.PhaseCodedWaveform/plot phased.RectangularWaveform/plot phased.SteppedFMWaveform/plot phytree/plot planeModel/plot polyshape/plot predmaint/plot prob.NormalDistribution/plot propagationData/plot pulseWaveformLibrary/plot RepeatedMeasuresModel/plot resppack.bodeplot/plot rfchain.rfchain/plot rfpcb/plot roadrunnerHDMap/plot rocmetrics/plot ros/plot rwvtree/plot SE3/plot semiconjugateblm/plot sfit/plot shapley/plot SimBiology.gsa.ElementaryEffects/plot SimBiology.gsa.MPGSA/plot SimBiology.gsa.Sobol/plot simscape.logging.Node/plot simscape.logging.Series/plot simscape.logging/plot Simulink.sdi.DatasetRef/plot Simulink.SimulationData.Dataset/plot Simulink.SimulationData.Parameter/plot slrealtime.ProfilerData/plot tall/plot timeseries/plot umargin/plot vehicleCostmap/plot wavelet/plot wdectree/plot wvtree/plot
For item #2, can you look into your textbook and show the formula to detect the change of direction of a signal?
For item #3, not sure about definition, but I think the gap is probably .
For item #4, can you look into your textbook and show the acceleration formula?
For item #5, I think this is the most challenging part of the problem. Can you look into your textbook and show the displacement formula?


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