Learning Math and Coding with Robots

Linkbot Image Mindstorm Image Cursor Image
0x726048362412y726048362412
Grid:
Tics Lines:
Width px
Hash Lines:
Width px
Labels:
Font px
Trace Lines:
Robot 1:
Width px
Robot 2:
Width px
Robot 3:
Width px
Robot 4:
Width px
Axes: x-axis y-axis Show Grid
Grid: 24x24 inches 36x36 inches 72x72 inches
96x96 inches 192x192 inches
Quad: 4 quadrants 1 quadrant Hardware
Units: US Customary Metric
Background: Background Image

Robot 1

Linkbot
Mindstorm
Initial Position:
( in, in)
Initial Angle:
deg
Current Position: (0 in, 0 in)
Current Angle: 90 deg
Wheel Radius:
Track Width:
in

Robot 2

Linkbot
Mindstorm
Initial Position:
( in, in)
Initial Angle:
deg
Current Position: (12 in, 0 in)
Current Angle: 90 deg
Wheel Radius:
Track Width:
in

Robot 3

Linkbot
Mindstorm
Initial Position:
( in, in)
Initial Angle:
deg
Current Position: (24 in, 0 in)
Current Angle: 90 deg
Wheel Radius:
Track Width:
in

Robot 4

Linkbot
Mindstorm
Initial Position:
( in, in)
Initial Angle:
deg
Current Position: (36 in, 0 in)
Current Angle: 90 deg
Wheel Radius:
Track Width:
in

Animate a Truck on a Road in One-Point Perspective
Problem Statement:
In this activity you will animate a truck driving forward on a road in one-point perspective. The pre-placed blocks give x-values in terms of the variable x for every shape within a loop that counting by x. The equations for the lines starting at the vanishing point through the midpoint of each ellipse(wheel) is given. Use these equations to write expressions in terms of x for the y-values of the ellipses. Then find equations for the red lines generated by the board blocks, and use these equations to find expressions for the y-values of each of the quadrilaterals.
/* Code generated by RoboBlockly v2.0 */
#include <chplot.h>
double x;
CPlot plot;

// y1 = -5x + 216
// y2 = -3x + 144
// y3 = -0.8181818182x + 65.45454546
// y4 = -1.363636364x + 85.09090909
for(x = 0; x <= 3; x += 0.5) {
  //plot.backgroundImage("roadViewWithSun.png");
  plot.strokeColor("black");
  plot.fillColor("#666666");
  // y = -3.75x + 171
  plot.ellipse(44 - x * 1.5, (44 - x * 1.5) * -3.75 + 171, 4 - x * 0.75, 6 - x * 1, 0);
  // y = -1.578947368x + 92.84210526
  plot.ellipse(55 - x * 3.5, (55 - x * 3.5) * -1.578947368 + 92.84210526, 4 - x * 0.75, 6 - x * 1.25, 0);
  // y = -4.4x + 194.4
  plot.ellipse(41 - x * 0.9, (41 - x * 0.9) * -4.4 + 194.4, 2 - x * 0.75, 3 - x * 0.75, 0);
  plot.fillColor("#c0c0c0");
  plot.quad(42 - x * 1.1, (42 - x * 1.1) * -5 + 216, 42 - x * 1.1, (42 - x * 1.1) * -3 + 144, 58 - x * 4.1, (58 - x * 4.1) * -0.8181818182 + 65.45454546, 58 - x * 4.1, (58 - x * 4.1) * -1.363636364 + 85.09090909);
  plot.quad(42 - x * 1.1, (42 - x * 1.1) * -3 + 144, 40 - double(x)/1.5, (40 - double(x)/1.5) * -3 + 144, 50.5 - x * 2.5, (50.5 - x * 2.5) * -0.8181818182 + 65.45454546, 57.85 - x * 4.1, (57.85 - x * 4.1) * -0.8181818182 + 65.45454546);
  plot.quad(40 - double(x)/1.5, (40 - double(x)/1.5) * -5 + 216, 40 - double(x)/1.5, (40 - double(x)/1.5) * -3 + 143.5, 42 - x * 1.1, (42 - x * 1.1) * -3 + 144, 42 - x * 1.1, (42 - x * 1.1) * -5 + 216);
  delaySeconds(0.001);
}

plot.label(PLOT_AXIS_XY, "");
plot.grid(PLOT_OFF);
plot.tics(PLOT_AXIS_XY, PLOT_OFF);
plot.axis(PLOT_AXIS_XY, PLOT_OFF);
plot.axisRange(PLOT_AXIS_XY, 0, 72);
plot.ticsRange(PLOT_AXIS_XY, 6);
plot.sizeRatio(1);
plot.plotting();
Blocks Save Blocks Load Blocks Show Ch Save Ch Workspace
Problem Statement:
In this activity you will animate a truck driving forward on a road in one-point perspective. The pre-placed blocks give x-values in terms of the variable x for every shape within a loop that counting by x. The equations for the lines starting at the vanishing point through the midpoint of each ellipse(wheel) is given. Use these equations to write expressions in terms of x for the y-values of the ellipses. Then find equations for the red lines generated by the board blocks, and use these equations to find expressions for the y-values of each of the quadrilaterals.

		
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