### Learning Math and Coding with Robots

 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:

#### Robot 1

 Initial Position: ( in, in) Initial Angle: deg Current Position: (0 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

#### Robot 2

 Initial Position: ( in, in) Initial Angle: deg Current Position: (6 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

#### Robot 3

 Initial Position: ( in, in) Initial Angle: deg Current Position: (12 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

#### Robot 4

 Initial Position: ( in, in) Initial Angle: deg Current Position: (18 in, 0 in) Current Angle: 90 deg Wheel Radius: 1.75 in1.625 in2.0 in Track Width: in

Launching a Projectile on the Moon
Problem Statement:
An astronaut stationed on the moon decides to launch a linkbot upward to give it a projectile motion. The linkbot starts at y = 0 and follows a parabolic path as it travels. Its vertical position can be described by the following equation: y = -0.5x2 + 8x. Graph the quadratic equation by changing the value of the y-variable in the loop, then find the total distance in the x direction (x-value) traveled by the linkbot once it lands back on the moon (y = 0) if it starts at x = 0. You will graph the equation from x = 0 to the x-value you calculate.
```/* Code generated by RoboBlockly v2.0 */
#include <linkbot.h>
double x;
double y;
CLinkbotI robot;
double radius = 1.75;
double trackwidth = 3.69;

for(x = 0; x <= 16; x++) {
y = -0.5 * pow(x, 2) + 8 * x;
robot.drivexyTo(x, y, radius, trackwidth);
}
```
 Blocks Save Blocks Load Blocks Show Ch Save Ch Workspace
Problem Statement:
An astronaut stationed on the moon decides to launch a linkbot upward to give it a projectile motion. The linkbot starts at y = 0 and follows a parabolic path as it travels. Its vertical position can be described by the following equation: y = -0.5x2 + 8x. Graph the quadratic equation by changing the value of the y-variable in the loop, then find the total distance in the x direction (x-value) traveled by the linkbot once it lands back on the moon (y = 0) if it starts at x = 0. You will graph the equation from x = 0 to the x-value you calculate.

Time